Advanced Calculus/ Mathematical ANALYSIS

Course Title : Advanced Calculus for Mathematics Teachers/Mathematical Analysis
Credit Units : 3.0 Units/3.0 Units

Academic Unit/Department : Cebu Technological University Argao Campus, Graduate School
Program : Master of Arts in Education major in Teaching Mathematics (MAED-TM)

Course Description : This course covers the breadth of calculus from theory to practice. It includes the real number system, limits, derivatives, integrals, ordinary differential equations, numerical analysis, and mathematical modelling. This course culminates by writing a paper which proposes, solves, and analyzes a novel model of a real-world biological system.

Course Learning Outcomes : At the end of the semester, the students should be able to:

• Construct the real number system.

• Differentiate and integrate functions.

• Solve ordinary differential equations using analytical and numerical methods.

• Model biological systems using ODEs.

Schedule : Sundays 12:00pm - 4:00pm; via Zoom

Requirements :

1. Attendance - student should be present in at least 75% of the synchronous meetings.

2. Exercises, quizzes, and exams - passing score for all written works is 75%.

3. Final paper - each student should write a paper which proposes, solves, and analyzes a model of a real-world biological system.

4. Paper presentation - each student should be able to present their paper to the class.

Grade Computation :

• Exercises - 10%

• Paper presentation - 20%

• Quizzes - 30%

• Final paper - 40%

Instructor Information

Julius D. Selle, MS Math
Chairperson, Mathematics and Statistics
College of Arts and Sciences, CTU Main Campus
jdselle@up.edu.ph

• 21.11.21 Week 1 - Introduction and Overview

• 28.11.21 Week 2 - The Real Number System

• 05.12.21 Week 3 - Complex Numbers

• 12.12.21 Week 4 - Limits

• 19.12.21 Week 5 - The Derivative

• 09.01.22 Week 6 - The Integral

• 16.01.22 Week 7 - Differential Equations

• 23.01.22 Week 8 - Numerical Methods

• 30.01.22 Week 9 - Mathematical Modelling

• 06.02.22 Week 10 - Paper Exposition 1, 2, and 3

• 13.02.22 Week 11 - Writing & Coaching 1

• 20.02.22 Week 12 - Writing & Coaching 2

• 27.02.22 Week 13 - Writing & Coaching 3

• 06.03.22 Week 14 - Paper Presentations