Relevant bibliographies by topics / Pre-calculus / Journal articles
To see the other types of publications on this topic, follow the link: Pre-calculus.

Journal articles on the topic 'Pre-calculus'

Author: Grafiati
Published: 4 June 2021
Last updated: 29 July 2024

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the top 50 journal articles for your research on the topic 'Pre-calculus.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Browse journal articles on a wide variety of disciplines and organise your bibliography correctly.

1

Perez, Angel, and Ha Nguyen. "Concepts Most Successfully Learned and Most Challenging to Students in a Redesigned Pre-Calculus Course." International Journal on Studies in Education 6, no. 1 (December 28, 2023): 177–90. http://dx.doi.org/10.46328/ijonse.194.

Full text
Abstract:
Pre-Calculus is considered one of many gate-keeper courses for STEM college students (Viera Jr et al., 2019). To better support students in Pre-Calculus, various college-level institutions have redesigned their Pre-Calculus courses to address learning challenges and inequities faced by students. For instance, Jones Lanaghan (2021) redesigned the Pre-Calculus course to incorporate a standards-based grading system, active learning practices among students, and emphasis on developing a growth mindset. Students in their redesigned Pre-Calculus course passed the class at a higher rate than those enrolled in the traditional Pre-Calculus course, with a difference of 38.3% higher. Additionally, students in the redesigned Pre-Calculus course passed their Calculus I course at a higher rate, with a difference of 3.1% higher. Despite the overall improvement and encouraging outcomes to the course, further learning challenges still need to be addressed. This study seeks to answer the following research questions: 1) What concepts are most successfully learned by students in a redesigned Pre-Calculus course? 2) What concepts are most challenging to students in a redesigned Pre-Calculus course? Data from 59 students enrolled in all sections of a redesigned Pre-Calculus course in Spring 2023 were analyzed quantitatively, using descriptive statistics. Discussion, limitations, and future research for teaching will also be shared.
APA, Harvard, Vancouver, ISO, and other styles
2

Henderson, Ronald W., and Edward M. Landesman. "Interactive Videodisc Instruction in Pre-Calculus." Journal of Educational Technology Systems 17, no. 2 (December 1988): 91–101. http://dx.doi.org/10.2190/jqyl-rn4v-n6t3-a4pd.

Full text
Abstract:
The interactive videodisc player, managed by a microcomputer, combines the unique instructional qualities of video with the interactive flexibility of the computer. This article reports on the design considerations involved in the development of a series of eight interactive videodisc modules in pre-calculus mathematics. This system, entitled Preparing for Calculus, takes advantage of the unique attributes of each component of the system. The materials provide systematic instruction along dimensions that teachers often have difficulty implementing in classroom situations, but which have been demonstrated to be effective in mathematics instruction. Preliminary field test results indicate that the materials are highly effective, both for review and for initial learning of new concepts and operations.
APA, Harvard, Vancouver, ISO, and other styles
3

Litwak, Robert S. "The new calculus of pre-emption." Survival 44, no. 4 (December 2002): 53–80. http://dx.doi.org/10.1080/00396330212331343492.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

Zapatrin, Roman Romanovitz. "Pre-Regge calculus: Topology via logic." International Journal of Theoretical Physics 32, no. 2 (February 1993): 279–99. http://dx.doi.org/10.1007/bf00673717.

Full text
APA, Harvard, Vancouver, ISO, and other styles
5

López-González, Elifalet, Edgar A. Martínez-García, and Rafael Torres-Córdoba. "Pre-twisted calculus and differential equations." Chaos, Solitons & Fractals 173 (August 2023): 113757. http://dx.doi.org/10.1016/j.chaos.2023.113757.

Full text
APA, Harvard, Vancouver, ISO, and other styles
6

Sharma, Jyoti. "ASSESSING STUDENTS’ UNDERSTANDING OF PRE-CALCULUS CONCEPTS." International Journal of Research -GRANTHAALAYAH 5, no. 11 (November 30, 2017): 217–21. http://dx.doi.org/10.29121/granthaalayah.v5.i11.2017.2350.

Full text
Abstract:
Calculus is one of the most momentous achievements of the human intellect (Boyer, 1949). It has given a new direction to the work of mathematicians and scientists. Calculus has exponentially expanded the scope and use of mathematics in other fields. Learning calculus is important to pursue career in applied mathematics.
APA, Harvard, Vancouver, ISO, and other styles
7

Capinding, Andie Tangonan. "REVOLUTIONIZING PRE-CALCULUS EDUCATION: PHOTOMATH'S AI-POWERED MATHEMATICS TUTORSHIP." Problems of Education in the 21st Century 81, no. 6 (December 18, 2023): 758–75. http://dx.doi.org/10.33225/pec/23.81.758.

Full text
Abstract:
Mathematics plays a vital role in education; however, Filipino students encounter difficulties, evident in their performance on both national and international assessments. However, current literature suggests that leveraging technology, such as calculators and AI, in mathematics education can enhance students' proficiency, particularly in the pre-calculus domain. Thus, this research study examined the effectiveness of Photomath in enhancing Filipino students' self-reliance, interest, and performance in pre-calculus. A quasi-experimental one-group pretest-posttest design was used, with 49 Grade 11 students from NEUST Laboratory High School participating. Descriptive and inferential statistical analyses were performed to examine the pre-and post-intervention data. Results revealed a significant increase in students' self-reliance, interest, and performance in pre-calculus following the use of Photomath. The mean scores on all three measures increased significantly from the pretest to the posttest. The results of the t-tests further confirmed the effectiveness of Photomath in enhancing students' self-reliance, interest, and performance in pre-calculus. These results suggest that Photomath can be a valuable tool for educators to incorporate into pre-calculus teaching to enhance students' confidence and interest, foster intrinsic motivation, and ultimately improve their performance. Keywords: Photomath, students’ interest, students’ self-reliance, performance in pre-calculus
APA, Harvard, Vancouver, ISO, and other styles
8

Aguirre, Alejandro, Gilles Barthe, Justin Hsu, Benjamin Lucien Kaminski, Joost-Pieter Katoen, and Christoph Matheja. "A pre-expectation calculus for probabilistic sensitivity." Proceedings of the ACM on Programming Languages 5, POPL (January 4, 2021): 1–28. http://dx.doi.org/10.1145/3434333.

Full text
APA, Harvard, Vancouver, ISO, and other styles
9

Padernal, Rogie E., and Crispina V. Diego. "Academic Performance of Senior High School Students in Pre-Calculus." Philippine Social Science Journal 3, no. 2 (November 12, 2020): 69–70. http://dx.doi.org/10.52006/main.v3i2.185.

Full text
Abstract:
Knowledge in Pre-Calculus depends on students' understanding of Algebra and Trigonometry. The result of the Program for International Students Assessment (PISA) in 2018 disclosed that the Philippines ranked the second-lowest in Mathematics assessment and indicated low performance in advanced subjects such as Calculus. Hence, the paper described the level of academic performance of senior high school students in a maritime school in Bacolod City during the school year 2019-2020. Likewise, it aimed to determine the relationship between the students' demographics and the level of academic performance in Pre-Calculus. Furthermore, it is intended to test the correlation and predictive capability of the school of origin and entrance examination scores in the academic performance of students in Pre-Calculus.
APA, Harvard, Vancouver, ISO, and other styles
10

Ayebo, Abraham, Sarah Ukkelberg, and Charles Assuah. "Success in Introductory Calculus: The Role of High School and Pre-calculus Preparation." International Journal of Research in Education and Science 3, no. 25311 (November 22, 2016): 11–19. http://dx.doi.org/10.21890/ijres.267359.

Full text
APA, Harvard, Vancouver, ISO, and other styles
11

Miller, Bonnie R., Colin E. Harvey, and Frances Shofer. "Effectiveness of Sofscale™ Calculus Scaling Gel as an AID during Dental Scaling of Teeth of Dogs." Journal of Veterinary Dentistry 11, no. 1 (March 1994): 14–17. http://dx.doi.org/10.1177/089875649401100104.

Full text
Abstract:
The effect of pre-scaling application of SofScale™ Calculus Scaling Gel was studied on teeth of cadaver dogs, comparing scaling time and effort among pre-treated and untreated pairs of teeth. Teeth with light, moderate and heavy calculus were studied, treated by either hand-scaling only or hand and ultrasonic scaling. No significant difference was found in overall mean time required, comparing SofScale™ treated and untreated teeth. Scaling time was faster for SofScale™ treated teeth with light calculus, and slower for SofScale™ treated teeth with heavy calculus. There were no differences observed in the effort required for scaling, comparing SofScale™ treated and untreated teeth.
APA, Harvard, Vancouver, ISO, and other styles
12

Etcuban, Jonathan, Cirilo Daculara, Jr., Mayette Cutab, Suzette Lapiña, and Bell Campanilla. "Attitudes and Performance of Grade 11 Students in Pre-Calculus Using Strategic Intervention Material." Journal of Mathematics and Statistics Studies 5, no. 2 (May 18, 2024): 01–12. http://dx.doi.org/10.32996/jmss.2024.5.2.1.

Full text
Abstract:
Strategic Intervention Material (SIM) served as instructional support to help students review key ideas and techniques to help them master a competency-based ability they could not achieve during routine class discussions. This study aimed to determine the attitudes and the performance of Grade 11 students in Pre-Calculus using SIM at the three-identified public national high schools in Cebu, Philippines. It employed the descriptive-correlational method to collect data from 97 samples using two questionnaires (A standardized Attitudinal Test by Fennema-Sherman and researchers-made Performance Test in Equations of Circles). The Chi-square test, t-test, frequency, simple percentage, mean, standard deviation, and attitude toward success were used to analyze the respondents' attitudes about pre-calculus regarding confidence in learning, attitude toward success, mathematics as a male domain, and usefulness. The findings demonstrated that SIMs were appropriate for the respondents' needs, with more excellent knowledge gained from the SIM leading to a better understanding of Pre-Calculus, specifically Equations of Circles, which is beneficial when SIM is used as a teaching tool. The study concluded that using SIM in Pre-Calculus as instructional support significantly affected the student's performance in Pre-Calculus, which is effective in learning the subject. The proposed intervention plan was recommended to be implemented, monitored, and evaluated to boost the math performance of the Grade 11 senior high schools.
APA, Harvard, Vancouver, ISO, and other styles
13

Sonnert, Gerhard, and Philip M. Sadler. "The impact of taking a college pre-calculus course on students’ college calculus performance." International Journal of Mathematical Education in Science and Technology 45, no. 8 (June 2, 2014): 1188–207. http://dx.doi.org/10.1080/0020739x.2014.920532.

Full text
APA, Harvard, Vancouver, ISO, and other styles
14

Spotts, Jeffrey D., and Antonio P. Gutierrez de Blume. "A Pilot Study on the Effect of the Flipped Classroom Model on Pre-Calculus Performance." SAGE Open 10, no. 4 (October 2020): 215824402098260. http://dx.doi.org/10.1177/2158244020982604.

Full text
Abstract:
A more effective math education has never been more pressing than in today’s world. However, it is no mystery that students continue to struggle with basic mathematics concepts, let alone more advanced math such as Pre-Calculus. Thus, in the present study, two Pre-Calculus math classrooms were randomly assigned to either a flipped classroom model of instruction or one that employed traditional lecture. Data on two aspects of Pre-Calculus—matrices and vectors (operations and application)—were collected at pretest and again at posttest. Results revealed that students who were exposed to the flipped classroom model outperformed students in the control classroom but only on matrices items. We discuss implications and recommendations for math education.
APA, Harvard, Vancouver, ISO, and other styles
15

Presto, Adaiah, and Eugene L. Menorca. "Students Metacognitive Strategies in Solving Mathematics Problems in Distance Learning: A Phenomenological Study." International Journal of Multidisciplinary: Applied Business and Education Research 4, no. 4 (April 21, 2023): 1259–69. http://dx.doi.org/10.11594/ijmaber.04.04.21.

Full text
Abstract:
The COVID-19 pandemic has transformed the educational terrain from face-to-face to distance learning. In the Philippines, the Department of Education implemented different distance learning modalities such as modular distance learning, online distance learning, TV/radio-based instruction, and blended distance learning to continue education delivery. Consequently, this study explored senior high school students' experiences using metacognitive strategies to solve pre-calculus problems in distance learning through a phenomenological approach to qualitative research. Using purposive sampling, the researchers selected ten senior high school students from Marinduque and Palawan. They conducted two sets of online interviews via Google Meet to elicit students' experiences, views, and opinions regarding their metacognitive strategies in solving problems in pre-calculus. During the first set, all participants were involved, while they chose only three to proceed to the second set of interviews. They crafted the open-ended questions they utilized in the online interviews according to the research questions. The recorded interviews were transcribed and analyzed through thematic analysis. The results revealed that (1) students' metacognitive strategies for solving problems in pre-calculus include planning, monitoring, and evaluating the solution and final answer. Also, (2) students perceived their metacognitive strategies as practical tools to overcome difficulties in solving pre-calculus problems in distance learning. Further, (3) students recognized their metacognitive strategies in solving problems in pre-calculus as applicable in making decisions in real-life and pursuing lifelong learning.
APA, Harvard, Vancouver, ISO, and other styles
16

Jamian, Nurul Husna, Najihan Awang Ali, and Muhammad Aslam Mohd Safari. "Exploring Pre-Calculus (MAT133) Final Assessment Marks Between Gender Using Principal Component Analysis: A Case In UiTM Tapah." Mathematical Sciences and Informatics Journal 2, no. 2 (November 30, 2021): 57–66. http://dx.doi.org/10.24191/mij.v2i2.15934.

Full text
Abstract:
Pre-Calculus covers additional algebraic and trigonometric, where the students are encouraged to become proficient in those topics to prepare for an in-depth calculus learning. In Universiti Teknologi Mara (UiTM), practically every semester the issue of Pre-Calculus’ high failure rate is commonly reported. One of the ways to measure the students' understanding of this subject is through the final assessment performance. Besides, gender significance is one of the most notable studies in mathematics performance. Therefore, this study aims to compare the performance of part 1 diploma students who registered Pre-Calculus in UiTM Tapah in in accordance to their gender. To analyze the results, this study performed Descriptive and Principal Component Analysis using R statistical software. It was found that the students faced problems in answering Question 2, but scored more marks for Question 5. This revealed that most of the students faced difficulties in handling sketches of parabolas and circles. It was also discovered that the female students outperformed the males in this course.
APA, Harvard, Vancouver, ISO, and other styles
17

Luft, Daniel, and Volker Schulz. "Pre-shape calculus and its application to mesh quality optimization." Control and Cybernetics 50, no. 3 (September 1, 2021): 263–301. http://dx.doi.org/10.2478/candc-2021-0019.

Full text
Abstract:
Abstract Deformations of the computational mesh, arising from optimization routines, usually lead to decrease of mesh quality or even destruction of the mesh. We propose a theoretical framework using pre-shapes to generalize the classical shape optimization and calculus. We define pre-shape derivatives and derive corresponding structure and calculus theorems. In particular, tangential directions are featured in pre-shape derivatives, in contrast to classical shape derivatives, featuring only normal directions. Techniques from classical shape optimization and calculus are shown to carry over to this framework. An optimization problem class for mesh quality is introduced, which is solvable with the use of pre-shape derivatives. This class allows for simultaneous optimization of the classical shape objectives and mesh quality without deteriorating the classical shape optimization solution. The new techniques are implemented and numerically tested for 2D and 3D.
APA, Harvard, Vancouver, ISO, and other styles
18

Lam, Tin, Toh Pee, Kok Ming, and Ying Zhu. "On Pre-Service Teachers’ Content Knowledge of School Calculus: An Exploratory Study." European Journal of Mathematics and Science Education 3, no. 2 (December 15, 2022): 91–103. http://dx.doi.org/10.12973/ejmse.3.2.91.

Full text
Abstract:
<p style="text-align: justify;">This paper reports an exploratory study on the pre-service teachers’ content knowledge on school calculus. A calculus instrument assessing the pre-service teachers’ iconic thinking, algorithmic thinking and formal thinking related to various concepts in school calculus was administered to a group of pre-service mathematics teachers. Their performance on five of the items is reported in this paper. Other than their good performance in the iconic recognition of stationary points, their recognition on points of inflexion, differentiability and notion of minimum points was relatively poor. In addition, they appeared to lack the algorithmic flexibility in testing the nature of stationary points and the formal thinking about definition of an extremum point. The implications of the findings are discussed. </p>
APA, Harvard, Vancouver, ISO, and other styles
19

A, John Pradeep Ebenezer, John Bernard Z, and Kumudhavalli V. "Refining Pre-Calculus for Students by using Video Podcasts." INTERNATIONAL JOURNAL OF COMPUTING ALGORITHM 3, no. 3 (December 31, 2014): 271–72. http://dx.doi.org/10.20894/ijcoa.101.003.003.028.

Full text
APA, Harvard, Vancouver, ISO, and other styles
20

Miller-Reilly, Barbara. "Three different teaching approaches in pre-calculus bridging mathematics." International Journal of Mathematical Education in Science and Technology 38, no. 7 (October 15, 2007): 891–905. http://dx.doi.org/10.1080/00207390701557189.

Full text
APA, Harvard, Vancouver, ISO, and other styles
21

Agustina, E. N. S., D. Sukriyah, R. C. Dhewy, N. Ayuningtyas, Mubarokah, and A. Isobar. "Mathematics Pre-Service Teachers’ Analogical Reasoning toward Calculus Problems." Journal of Physics: Conference Series 1464 (February 2020): 012013. http://dx.doi.org/10.1088/1742-6596/1464/1/012013.

Full text
APA, Harvard, Vancouver, ISO, and other styles
22

Lord, Nick. "The volume of a cone for pre-calculus students." Mathematical Gazette 101, no. 552 (October 16, 2017): 534–37. http://dx.doi.org/10.1017/mag.2017.150.

Full text
APA, Harvard, Vancouver, ISO, and other styles
23

El Turkey, Houssein, Salam Turki, and Yasanthi Kottegoda. "Two Implementations of Pre-class Readings in Calculus Courses." PRIMUS 31, no. 2 (October 29, 2019): 210–22. http://dx.doi.org/10.1080/10511970.2019.1666331.

Full text
APA, Harvard, Vancouver, ISO, and other styles
24

Moraes, Ubirajara Carnevale de, and Vera Lucia Antonio Azevedo. "REMOTE TEACHING MODELING FOR PRE-CALCULUS CLASSES IN ENGINEERING." Journal of Engineering Research 4, no. 7 (February 27, 2024): 2–11. http://dx.doi.org/10.22533/at.ed.317472426021.

Full text
APA, Harvard, Vancouver, ISO, and other styles
25

REIS, GISELLE, and BRUNO WOLTZENLOGEL PALEO. "Complexity of translations from resolution to sequent calculus." Mathematical Structures in Computer Science 29, no. 8 (January 16, 2019): 1061–91. http://dx.doi.org/10.1017/s0960129518000476.

Full text
Abstract:
Resolution and sequent calculus are two well-known formal proof systems. Their differences make them suitable for distinct tasks. Resolution and its variants are very efficient for automated reasoning and are in fact the theoretical basis of many theorem provers. However, being intentionally machine oriented, the resolution calculus is not as natural for human beings and the input problem needs to be pre-processed to clause normal form. Sequent calculus, on the other hand, is a modular formalism that is useful for analysing meta-properties of various logics and is, therefore, popular among proof theorists. The input problem does not need to be pre-processed, and proofs are more detailed. However, proofs also tend to be larger and more verbose. When the worlds of proof theory and automated theorem proving meet, translations between resolution and sequent calculus are often necessary. In this paper, we compare three translation methods and analyse their complexity.
APA, Harvard, Vancouver, ISO, and other styles
26

Mulla, Asifa. "Teaching and Learning the Fundamental of Calculus through Python-based Programming." International Journal for Research in Applied Science and Engineering Technology 12, no. 1 (January 31, 2024): 1414–18. http://dx.doi.org/10.22214/ijraset.2024.58184.

Full text
Abstract:
Abstract: The widespread adoption of modern Information and Communication Technology (ICT) tools in mathematics and science education is gaining momentum worldwide, especially in emerging countries with rapidly increasing digital technology penetration rates. The utilization of Python programming, with its capability to dynamically visualize abstract mathematical concepts, presents a valuable tool for instructors to elucidate calculus principles that were challenging to convey through traditional teaching methods. This research aimed to assess the efficacy of Python-based coding in teaching the fundamentals of calculus to grade Tenth students at a higher secondary school in Mumbai India. The study employed a pre-test and post-test control group quasiexperimental design, with a total of 76 participants (34 in the experimental group and 42 in the control group). The researchers administered Python-based coding instructional units to the experimental group, while the control group received traditional lecture-based instruction. The Calculus Understanding and Teaching Effectiveness (CUTFE) questionnaire was used as both a pre-test and post-test assessment tool. Results revealed no significant difference between the experimental and control groups in the pre-test. However, a noteworthy disparity emerged in favor of the experimental group in the post-test. Consequently, the study concluded that engaging in coding activities had a substantial impact on students' comprehension of the fundamentals of calculus. This underscores the effectiveness of Python-based coding as a pedagogical tool in enhancing students' understanding of mathematical concepts in the context of calculus education.
APA, Harvard, Vancouver, ISO, and other styles
27

Amevor, Godfred, Anass Bayaga, and Michael J. Bosse. "Analysis of Rural-Based Pre-Service Teachers Spatial-Visualisation Skills in Problem Solving in Vector Calculus Using MATLAB." International Journal of Emerging Technologies in Learning (iJET) 16, no. 10 (May 25, 2021): 125. http://dx.doi.org/10.3991/ijet.v16i10.19269.

Full text
Abstract:
In science, technology, engineering and mathematics (STEM) for instance, interdisciplinary studies have noted positive correlation between spatial-visualization (SV skills) and mathematical problem solving. The majority of these studies sharing a link between SV skills and problem solving were contextualized in urban settings and only a few in rural settings. This investigation analyses how rural-based pre-service teachers apply their SV skills in problem-solving in a South African university, in the context of vector calculus. One hundred rural-based pre-service teachers in a second year vector calculus class at University of Zululand (UNIZULU) were randomly selected into control and experimental groups. MATLAB was used as a dynamic visual tool to analyse how research participants applied their SV skills. A mixed method approach was employed in data collection (quantitative and qualitative). Our findings revealed that the rural-based pre-service teachers’ SV skills correlate with their problem-solving skills in vector calculus.
APA, Harvard, Vancouver, ISO, and other styles
28

Farida, Nurul, and Rina Agustina. "IMPLEMENTASI BAHAN AJAR KALULUS LANJUT BERBASIS INKURI." AKSIOMA: Jurnal Program Studi Pendidikan Matematika 6, no. 3 (December 29, 2017): 332. http://dx.doi.org/10.24127/ajpm.v6i3.1145.

Full text
Abstract:
In advanced calculus learning is needed teaching materials that can help students understand the concept. One of the teaching materials that can be used is by applying teaching materials that contains the problem of understanding the concept of advanced calculus. This instructional material can be arranged with inquiry-based. The research design used is Pre-Experimental Design with One-Group Pretest-Posttest Design type. From result of research, obtained t count equal to 11,8 and t tabel equal to 1,645 mean value of concept comprehension after given instructional materials advanced calculus based on inquiry is significantly better than before using advanced calculus based instructional materials inquiry. Based on the results of data analysis concluded that the instructional materials advanced inquiry-based advanced calculus developed effectively can improve the ability of students' concept of understanding on advanced calculus learning.
APA, Harvard, Vancouver, ISO, and other styles
29

N, Imdad Ali, Paresh Sankhe, Ravishankar T.H.S, and Jayaprakasha Gangadharaiah. "A Retrospective Study to Evaluate the Need of CT / IVU in the Management of Lower Ureteric Calculus." Journal of Evidence Based Medicine and Healthcare 7, no. 48 (November 30, 2020): 2820–24. http://dx.doi.org/10.18410/jebmh/2020/578.

Full text
Abstract:
BACKGROUND Urinary stone disease is major health problem affecting 2 – 3 % population worldwide, and is more commonly seen in the working age group (30 - 60 years) of society. X-ray, USG, CT, and IVU are diagnostic modalities available to us. IVU is still being requested by clinicians as diagnostic tool for urolithiasis but we need to reassess the importance of this modality as it seldom makes a difference in the management decision and outcome. METHODS Medical records of 184 patients who underwent ureteroscopic pneumatic lithotripsy from 2016 to 2019 for lower ureteric calculus were reviewed retrospectively. All patients of lower ureteric calculus (n = 184) were included in study; of which 130 patients had undergone USG and x-ray as pre-operative imaging; 54 underwent CT / IVU in pre-operative imaging along with USG and Xray. Stone free rate, complication, requirement of repeat procedure, and post op fever were compared and analysed. RESULTS Results were analysed in view of the need of second look surgery, post op fever, complication, and Stone Free Rate (SFR). The majority of patients who underwent URSL were with lower ureteric calculus 184 (43.8 %), upper ureteric 145 (34.5 %), middle ureteric 70 (16.7 %) and multiple 21 (5 %). The mean stone size of lower ureteric calculus was 10.4 ± 3.8 mm. Stone free rate for with URSL for lower ureteric calculus was 88 %, upper ureteric calculus 60 %, middle ureteric calculus 68 %. Overall SFR was 69.5 %. SFR in patients with imaging group was 61 % whereas in patients who didn’t undergo imaging was 77.83 %; this difference is statistically significant with a p-value 0.0003 (< 0.05). The complication rates were group I 106 (50 %) and group II 95 (45.6 %) and the difference is not statistically significant. In patients with imaging study (CT and IVU) done in the pre-op period the average hospital stay is 3.89 ± 1.23 days. CONCLUSIONS IVU has a limited clinical role, and its use should be strictly limited to highly select cases and can be avoided in straight forward cases. Similarly, CT can also be avoided in straight forward cases of lower ureteric calculus as it doesn’t provide any added advantage in terms of decreasing intra-op complication and SFR. KEYWORDS Computed Tomography, Intravenous Urography, Stone Free Rate, Stone Migration, Re Procedure
APA, Harvard, Vancouver, ISO, and other styles
30

Valderrama Arteaga, Jonhson, César Gonzales Chiclayo, María Medina Gutierrez, Mariano Bedón Salinas, Lorenzo Atoche Cáceres, Heber Chanducas Tantalean, and Julie Espinoza Castromonte. "Influence of the academic reinforcement workshop to improve the learning of integral calculation in second cycle’s students of systems engineering and computing of the faculty of sciences semester 2022-II unasam-Huaraz, 2023 [Influencia del taller de refuerzo académico para mejorar el aprendizaje del cálculo integral en estudiantes de segundo ciclo de ingeniería de sistemas y computación de la facultad de ciencias semestre 2022-II-unasam-Huaraz, 2023]." Journal of Global Education Sciences 6, no. 1 (January 2, 2024): 1–11. http://dx.doi.org/10.32829/gesj.v6i1.198.

Full text
Abstract:
The objective of the research is determining the influence of the Academic Reinforcement Workshop on improving the learning of integral calculus in students of the second cycle of Systems Engineering and Computer Science of the Faculty of Sciences, semester 2022-II- UNASAM -Huaraz, 2023. The research is applied type, quantitative method and pre-experimental design; Two instruments were applied: Pre test and post test validated by two experts, applied to a sample of 26 students. The variables analyzed Workshop on academic reinforcement and learning of integral calculus, in whose research an affirmative hypothesis and a null hypothesis were formulated. After analyzing the results, it is stated that there is a significant influence of the academic reinforcement workshop on the learning of integral calculus, so that the affirmative hypothesis is accepted. The verification of the hypothesis was done by applying Student's T. It is concluded that there is a significant influence of the academic reinforcement workshop on the learning of integral calculus in students of the professional career of Systems Engineering and Computer Science, semester 2022-II, UNASAM -Huaraz, 2023.
APA, Harvard, Vancouver, ISO, and other styles
31

Agricula, Jonalyn, Cristina Maderazo, Reymark Abejuela, Angeline Ros, Janica Benitez, Beth Gabuna, Rey A. Añonuev, and Darrel M. Ocampo. "Effects of Technology-assisted on the Level of Performance and Engagement of BSED Mathematics." SHS Web of Conferences 182 (2024): 02002. http://dx.doi.org/10.1051/shsconf/202418202002.

Full text
Abstract:
This study investigates the effects of technology-assisted lessons on the performance and engagement of Bachelor of Science in Education (BSED) Mathematics students enrolled in Calculus II. A pre-experimental design with a one-group pretest-post-test approach was employed. The respondents of the study were the 3rd-year BSED Mathematics students of Central Bicol State University of Agriculture-Sipocot for the 2023-2024 school year. Technology was integrated into the lessons through educational PowerPoint and video presentations during two sessions. Pre-tests and posttests were conducted to assess students’ performance in Calculus II, while survey questionnaires were used to measure the level of their engagement. The results of the Paired t-test reveal a significant (N=40, t=-30.691, p= 0.000) improvement in student performance following technology-assisted lessons. Findings also revealed that the level of engagement of the students towards Calculus II improved through the help of technology-assisted lessons. The study highlights the potential of technological integration in mathematics education and provides recommendations for further enhancing students’ learning experiences in Calculus II.
APA, Harvard, Vancouver, ISO, and other styles
32

Rahman, Md Asifur, Lew Sook Ling, and Ooi Shih Yin. "Interactive Learning System for Learning Calculus." F1000Research 11 (March 11, 2024): 307. http://dx.doi.org/10.12688/f1000research.73595.2.

Full text
Abstract:
Background IT tools has brought a new perspective to collaborative learning where students do not just sit in a chair and swallow lecture content but instead participate in creating and sharing knowledge. However, calculus learning augmented reality application has limitation in promoting a human collaboration in learning. Purpose This research develops an interactive application for learning calculus that promotes human-system interaction via augmented reality (AR) and human-human interaction through chat functions. The study examines the effect of both interactivities on learning experience and how that learning experience affects the performance of learning. Methods The research adopted a quasi-experimental study design and pre-post test data analysis to evaluate the effect of interactivities on learning experience and consequently the effect of learning experience on learning performance. The subjects were exposed to the developed application for learning the calculus chapter “Solid of Revolution” in a controlled environment. The study validated its research framework through partial least squares path modelling and tested three hypotheses via pre-and post-test evaluation. Conclusions The results found that both interactivities affect learning experience positively; human-human interactivity has a higher impact than the human-system interactivity. It was also found that learning performance as part of the learning experience increased from pre-test to post-test.
APA, Harvard, Vancouver, ISO, and other styles
33

Tang, Howe Eng, Nor Hazizah Julaihi, and Li Li Voon. "Attitudes and perceptions of university students towards calculus." Social and Management Research Journal 10, no. 1 (June 3, 2013): 1. http://dx.doi.org/10.24191/smrj.v10i1.5220.

Full text
Abstract:
This study seeks to examine university students’ attitudes and their perceptions on calculus education. Lecturers’ suggestions to remedy the current situation of calculus learning were also investigated. The instruments of this study consisted of three sets of questionnaires, aimed at collecting data regarding students’ attitudes and perceptions on calculus and lecturers’ suggestions. The respondents consisted of 278 full-time diploma students in a public university in Malaysia. The findings indicate that the students’ attitudes towards the Course of calculus according to gender were insignificant. However, there was a significant difference in the students’ attitudes towards the Field of calculus between female and male students. Students of Pre-Calculus and Calculus I were found to be feeling, thinking, and behaving similarly about calculus. Their attitudes towards the Field of calculus among the four engineering and science programmes were significant. After attempting 39.27% of the given questions, students’ perceptions on the difficulty of the questions remained the same, which was neither easier nor harder than they expected. Nevertheless, students’ perceptions changed positively (questions more difficult than expected) in 19.45% of the questions and negatively (questions easier than expected) in 41.28% of the questions. The implications from these findings provided inputs to improve calculus teaching and learning. Information regarding students’ attitudes toward calculus could help lecturers to design comprehensive calculus lessons that suit all kinds of students. Students also need to change their attitudes towards calculus, for example by having a closer inspection of the exact nature of the calculus questions before attempting them.
APA, Harvard, Vancouver, ISO, and other styles
34

Luft, Daniel, and Volker Schulz. "Simultaneous shape and mesh quality optimization using pre-shape calculus." Control and Cybernetics 50, no. 4 (December 1, 2021): 473–520. http://dx.doi.org/10.2478/candc-2021-0028.

Full text
Abstract:
Abstract Computational meshes arising from shape optimization routines commonly suffer from decrease of mesh quality or even destruction of the mesh. In this work, we provide an approach to regularize general shape optimization problems to increase both shape and volume mesh quality. For this, we employ pre-shape calculus as established in Luft and Schulz (2021). Existence of regularized solutions is guaranteed. Further, consistency of modified pre-shape gradient systems is established. We present pre-shape gradient system modifications, which permit simultaneous shape optimization with mesh quality improvement. Optimal shapes to the original problem are left invariant under regularization. The computational burden of our approach is limited, since additional solution of possibly larger (non-)linear systems for regularized shape gradients is not necessary. We implement and compare pre-shape gradient regularization approaches for a 2D problem, which is prone to mesh degeneration. As our approach does not depend on the choice of metrics representing shape gradients, we employ and compare several different metrics.
APA, Harvard, Vancouver, ISO, and other styles
35

Lohgheswary, N., Z. M. Nopiah, A. A. Aziz, and E. Zakaria. "Achievement of course outcome in vector calculus pre-test questions." Journal of Fundamental and Applied Sciences 9, no. 5S (January 19, 2018): 394. http://dx.doi.org/10.4314/jfas.v9i5s.28.

Full text
APA, Harvard, Vancouver, ISO, and other styles
36

Nasir, A. M., N. A. B. Omar, E. S. B. Sarudin, S. Masrom, and N. H. Ahmad. "Teaching and learning of pre-calculus: an insights of educators." Journal of Fundamental and Applied Sciences 9, no. 6S (February 1, 2018): 452. http://dx.doi.org/10.4314/jfas.v9i6s.35.

Full text
APA, Harvard, Vancouver, ISO, and other styles
37

Maharaj, Aneshkumar, and Vivek Wagh. "An outline of possible pre-course diagnostics for differential calculus." South African Journal of Science 110, no. 7/8 (2014): 1–7. http://dx.doi.org/10.1590/sajs.2014/20130244.

Full text
APA, Harvard, Vancouver, ISO, and other styles
38

Agua, Breix Michael Grande, Merlyn Lingo, and Junar Lingo. "A multiple linear regression model of students’ performance in calculus in the new normal." Journal of Research, Policy & Practice of Teachers & Teacher Education 13, no. 1 (June 27, 2023): 103–17. http://dx.doi.org/10.37134/jrpptte.vol13.1.8.2023.

Full text
Abstract:
The Philippines launched an educational reform in 2012, adding two years of senior high schools (SHS) with strands that aim to prepare students for work or pursue college degrees. The STEM strand was designed for those wishing to enroll in Science, Technology, Engineering, and Mathematics-related degree programs. This study investigates the performance in Calculus and the University admission examination of a random sample of 234 enrolled students for the First Semester of 2021-2022 at Caraga State University taking Differential Calculus. It tries to identify the socio-economic predictors of students' performance in Calculus. Results revealed that age, gender, SHS strand, enhancement program, and admission scores in English, Mathematics, and Abstract Reasoning correlate with students' Calculus performance. Also, the students who graduated from the SHS strand performed better in Calculus than those who did not. Nonetheless, Calculus student performance is regardless of the type of community, SHS type, and family monthly income. Among the socio-economic correlates, the SHS strand and calculus enhancement program are the main predictors of student performance in Calculus using multiple linear regression. Other significant predictors of Calculus student performance are the students' admission scores in Mathematics and Abstract Reasoning. This means that students who performed well in the Mathematics and Abstract Reasoning admission scores, along with SHS STEM strand enrolment and provision of the Calculus enhancement program, are indicators of students' performance in Calculus, implying the importance of mathematics interventions for the students' performance. Furthermore, an appropriate senior high school strand for college degree program preference is a necessary pre-requisite.
APA, Harvard, Vancouver, ISO, and other styles
39

Trisnowali MS, Andi, and Sartika Arifin. "Integrasi Pendekatan STEAM dalam Perkuliahan Kalkulus Integral." Griya Journal of Mathematics Education and Application 3, no. 1 (March 31, 2023): 198–204. http://dx.doi.org/10.29303/griya.v3i1.291.

Full text
Abstract:
This research is a quantitative research that aims to improve student learning outcomes through the STEAM learning approach in Integral calculus courses. The populations in this study were all students taking the Integral Calculus course using a purposive sampling technique. The research design used was a quasi-experimental design with a nonequivalent control group design. Data were obtained from student learning outcomes tests in the form of pre-test and post-test. Data analysis used Mann-Whitney. The results showed that the sig (2-tailed) value for the experimental class was 0.000 <0.05, which means that the integration of the STEAM approach to Integral Calculus courses can improve student learning outcomes.
APA, Harvard, Vancouver, ISO, and other styles
40

Kang, Zhi Qiang, Ying Chun Wang, Feng Nan, Shi Lin Yuan, and Jiu Lin Yang. "Research on Numerical Analysis of Landslide Cataclysm Mechanism Coal Mine." Advanced Materials Research 383-390 (November 2011): 7697–701. http://dx.doi.org/10.4028/www.scientific.net/amr.383-390.7697.

Full text
Abstract:
This article according to the ShengLi Open-pit Coal Mine landslide and the slope project special details, used the FLAC numerical calculus analysis software to conduct the research to the landslide cataclysm mechanism, has carried on the optimized analysis to the reinforcement plan.Has obtained the pre-stressed anchor rope frame beam + high pressure splitting grouting reinforcement plan government landslide most superior processing plan through the numerical calculus, thus active control ShengLi Open-pit Coal Mine slope distortion destruction.
APA, Harvard, Vancouver, ISO, and other styles
41

Barroso, Norman Cuello. "Mathematical Models in Predicting Retention of STEM Students in Pre-Calculus." International Journal of Pedagogical Development and Lifelong Learning 1, no. 1 (June 15, 2020): ep2004. http://dx.doi.org/10.30935/ijpdll/8342.

Full text
APA, Harvard, Vancouver, ISO, and other styles
42

Nzuki, Francis. "Examining Graphing Calculator Affordances in Learning Pre-Calculus among Undergraduate Students." International Journal of Information and Communication Technology Education 12, no. 2 (April 2016): 35–50. http://dx.doi.org/10.4018/ijicte.2016040104.

Full text
Abstract:
This study examines graphing calculator affordances in learning mathematics among college precalculus students. The study draws from the Cognitive Load Theory (CLT) and the “Intelligent Technology” theoretical framework proposed by Salomon, Perkins, and Globerson (1991). From these perspectives the effects “with” the graphing calculator technology include the potential for this technology to offload students' extraneous cognitive load (e.g., the presence of unwieldy numbers), and in turn optimize their germane cognitive load (e.g., freeing students to focus on the key mathematical ideas). To examine students' perceptions on the adoption of the graphing calculator instructional approach a questionnaire was administered towards the end of the semester. The findings showed that the graphing calculator afforded students' learning in a variety of ways. Also considered is the challenge for educators to develop strategies that encourage appropriate use of graphing calculators in mathematics classroom in order to ensure that their integration is effective in instruction.
APA, Harvard, Vancouver, ISO, and other styles
43

Yushau, Balarabe, and Muhammad Ali Khan. "Student Perceptions of Online Homework in Preparatory Year Pre-Calculus courses." International Journal of Mathematics Trends and Technology 8, no. 1 (April 25, 2014): 12–17. http://dx.doi.org/10.14445/22315373/ijmtt-v8p503.

Full text
APA, Harvard, Vancouver, ISO, and other styles
44

Rahman, Md Asifur, Lew Sook Ling, and Ooi Shih Yin. "Interactive Learning System for Learning Calculus." F1000Research 11 (March 14, 2022): 307. http://dx.doi.org/10.12688/f1000research.73595.1.

Full text
Abstract:
Background: IT tools assist in creating a more participative and independent learning environment. They have brought a new perspective to collaborative learning where students do not just sit in a chair and swallow lecture content but instead participate in creating and sharing knowledge. However, interactivity promoted through the implementation of technology is limited in many cases. Purpose: This research develops an interactive application for learning calculus that promotes human-system interaction via augmented reality (AR) and human-human interaction through chat functions. The study examines the effect of both interactivities on learning experience and how that learning experience affects the performance of learning. Methods: The research adopted a quasi-experimental study design and pre-post test data analysis to evaluate the effect of interactivities on learning experience and consequently the effect of learning experience on learning performance. The subjects were exposed to the developed application for learning the calculus chapter ‘Revolution of Solids” in a controlled environment. The study validated its research framework through partial least squares path modelling and tested three hypotheses via pre-and post-test evaluation. Conclusions: The results found that both interactivities affect learning experience positively; human-human interactivity has a higher impact than human-system interactivity. It was also found that learning performance as part of the learning experience increased from pre-test to post-test.
APA, Harvard, Vancouver, ISO, and other styles
45

Handayani, Fitri, Murnisari Darjan, Yuti Malinda, and Lutfi Yondri. "Dental Calculus as A Source of Bacterial Dna Analysis in Prehistoric Humans: a Systematic Literature Reviews." PURBAWIDYA: Jurnal Penelitian dan Pengembangan Arkeologi 12, no. 1 (June 30, 2023): 70–82. http://dx.doi.org/10.55981/purbawidya.2023.261.

Full text
Abstract:
Dental calculus is defined as mineralized dental plaque that is formed through the complex interaction between saliva and bacteria which adhere to the surface of the teeth. The plaque contains sources of bacterial genetic material which has the potential to be a source of information on ancient human health. Genetic sequences in the form of DNA are generated through a series of DNA extraction and through preparation of calculus samples of prehistoric human teeth. This research was conducted to determine the result of the identification of bacterial DNA found from ancient human skeletal dental calculus. This research was conducted using a literature study method through a systematic approach by collecting articles through an electronic search engine that fits the inclusion and exclusion categories. Of the 8 articles that met the criteria, 6 were research articles and 2 were reviewed articles. Four articles examined disease in ancient humans from the extraction of dental calculus in the paleolithic to early neolithic periods, two articles examined samples comparing modern humans and prehistoric humans and two others were reviewed article. Research that uses analysis of dental calculus has the potential to produce some information on life in pre-historic times besides that this research is also beneficial in future research so that it can be said that DNA analysis research uses dental calculus as a time capsule, because in dental calculus store a lot of genetic material that has the potential to store a lot of important information. Keywords: ancient man; DNA bacteria; dental calculus
APA, Harvard, Vancouver, ISO, and other styles
46

CHEN, YIFENG, and J. W. SANDERS. "WEAKEST SPECIFUNCTIONS FOR BSP." Parallel Processing Letters 11, no. 04 (December 2001): 439–54. http://dx.doi.org/10.1142/s0129626401000713.

Full text
Abstract:
This paper introduces a calculus of weakest specification for supporting reuse of established components in deriving a design (in the sense of formal methods). The weakest specifunction generalizes the notions of weakest pre-specification and weakest parallel environment; but instead of calculating the weakest required component of a target specification, it calculates the weakest specification function whose value refines the target when applied to an established component. In particular it overcomes the restriction of those other calculi to taking merely one required component at a time. The theory of specifunctions is applied to a new weakest-design calculus in the context of BSP. The calculus is based on the par-seq specifunction which involves two required components: it places one established component in parallel with one required component and the result in sequence with another required component to meet a given specification. A calculus is provided for the par-seq specifunction and it is applied to the derivation of a distributed BSP algorithm for greatest common divisor.
APA, Harvard, Vancouver, ISO, and other styles
47

K.S., Emmanuel, Joshua K.S., Alex O., and Leonard K.E. "Effective Application of Maple Software to Reduce Student Teachers' Errors In Integral Calculus." African Journal of Mathematics and Statistics Studies 4, no. 3 (October 19, 2021): 64–78. http://dx.doi.org/10.52589/ajmss-wrfgfpih.

Full text
Abstract:
This study explored the effective application of Maple software to reduce student teachers’ errors in Integral Calculus at Evangelical Presbyterian College of Education, Volta Region – Ghana. The study employed the quasi-experimental non-equivalent group design. Convenience and simple random sampling techniques were employed to obtain a sample of 80 students, which consisted of 40 students in the control group and 40 in the experimental group. Teacher-made Pre, -Post-Calculus Achievement Tests (CAT), and questionnaires were used to collect quantitative and qualitative data respectively. Descriptive, Independent samples t-test and paired samples t-test were used in analyzing the data. Descriptive error analysis revealed that students committed many conceptual, procedural and technical errors when solving Integral Calculus tasks. The results also indicated that there was a statistically significant difference between students of the experimental group exposed to the use of Maple software in learning integral calculus to the control group exposed to traditional methods. The researchers recommend Maple assisted instruction in the teaching and learning of Integral Calculus and also the need to employ a blended teaching approach, in which Maple software is used simultaneously with traditional teaching strategy.
APA, Harvard, Vancouver, ISO, and other styles
48

Casinillo, Leomarich F., and Ginna F. Tavera. "ON THE DARK SIDE OF LEARNING CALCULUS: EVIDENCE FROM AGRIBUSINESS STUDENTS." IJIET (International Journal of Indonesian Education and Teaching) 5, no. 1 (January 25, 2021): 52–60. http://dx.doi.org/10.24071/ijiet.v5i1.2825.

Full text
Abstract:
This study focused on evaluating the agribusiness students negative experiences in learning Calculus. The study employed 121 agribusiness students in the first semester of school year 2019-2020 in Visayas State University, Baybay City, Leyte, Philippines. A selected secondary data from the study of Casinillo and Casinillo (2020a) was utilized in this study. With the aid of correlational research approach, this study stresses to explain the nature and characteristics of negative effects of learning calculus which is very helpful for improving the level of achievement of students and modifying the strategy of mathematics teachers. Results showed that most of the agribusiness students dont have enough background in pre-calculus topics since there are only 9% of them took a STEM strand during senior high school. Seemingly, it is revealed that students are experiencing extreme stress, natural emotional exhaustion and frustration, and average absenteeism, somatic burden and laziness in learning Calculus. It is found out that the negative experiences of these agribusiness students are significantly related to each other. This suggest that these negative experiences are inter-correlated and dependent to each other which is wearisome to their studies and leads to poor academic performance. However, these students are driven to pursue studying calculus since its part to their requirements in their degree program. Hence, by proper motivation and appropriate teaching strategy in Calculus, these students can progress their level of achievement.
APA, Harvard, Vancouver, ISO, and other styles
49

Avanzini, Martin, Gilles Barthe, and Ugo Dal Lago. "On continuation-passing transformations and expected cost analysis." Proceedings of the ACM on Programming Languages 5, ICFP (August 22, 2021): 1–30. http://dx.doi.org/10.1145/3473592.

Full text
Abstract:
We define a continuation-passing style (CPS) translation for a typed λ-calculus with probabilistic choice, unbounded recursion, and a tick operator — for modeling cost. The target language is a (non-probabilistic) λ-calculus, enriched with a type of extended positive reals and a fixpoint operator. We then show that applying the CPS transform of an expression M to the continuation λ v . 0 yields the expected cost of M . We also introduce a formal system for higher-order logic, called EHOL, prove it sound, and show it can derive tight upper bounds on the expected cost of classic examples, including Coupon Collector and Random Walk. Moreover, we relate our translation to Kaminski et al.’s ert-calculus, showing that the latter can be recovered by applying our CPS translation to (a generalization of) the classic embedding of imperative programs into λ-calculus. Finally, we prove that the CPS transform of an expression can also be used to compute pre-expectations and to reason about almost sure termination.
APA, Harvard, Vancouver, ISO, and other styles
50

Yusri, Muhammad Yassar, Shamsatun Nahar Ahmad, Mohd Hanafi Azman Ong, and Nosiah Khalil. "The Effectiveness of Collaborative Teaching Method in Teaching Calculus I." Environment-Behaviour Proceedings Journal 5, SI1 (June 1, 2020): 187–91. http://dx.doi.org/10.21834/ebpj.v5isi1.2319.

Full text
Abstract:
The collaborative teaching method is a method that requires students working together in groups to solve problems to perform better in their studies. This paper aims to determine the method’s effectiveness in teaching Calculus I in UiTMCJ. Some students were chosen to participate in this study. They were taught Calculus I using this method and were assessed by using pre-assessment and post-assessment questions. The scores were analyzed using the paired T-test method. The results suggest that this method is effective to be used to teach Calculus I in UiTMCJ. Keywords: Collaborative teaching; Calculus I; concept, paired T-test. eISSN: 2398-4287 © 2020. The Authors. Published for AMER ABRA cE-Bs by e-International Publishing House, Ltd., UK. This is an open access article under the CC BYNC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/). Peer–review under responsibility of AMER (Association of Malaysian Environment-Behaviour Researchers), ABRA (Association of Behavioural Researchers on Asians) and cE-Bs (Centre for Environment-Behaviour Studies), Faculty of Architecture, Planning & Surveying, Universiti Teknologi MARA, Malaysia. DOI: https://doi.org/10.21834/ebpj.v5iSI1.2319
APA, Harvard, Vancouver, ISO, and other styles
You might also be interested in the bibliographies on the topic 'Pre-calculus' for other source types:
Books
We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!

To the bibliography