Module/Course Title: Calculus

Module course code

KOMS120201

Student Workload
119 hours

Credits

3 / 4.5 ETCS

Semester

2

Frequency

Even Semester

Duration

16

1

Type of course

Core Study Courses

Contact hours


40 hours of face-to-face (theoretical) class activity

Independent Study


48 hours of independent activity
48 hours of structured activities

Class Size

30

2

Prerequisites for participation (if applicable)

-

3

Learning Outcomes

  1. Students can use mathematical and logical concepts that support the scientific fields of computer science
  2. Students can compute limits, derivatives, and integrals
  3. Students can analyze functions by using limits, derivatives, and integrals
  4. Students can recognize the appropriate tools of calculus to solve applied problems

4

Subject aims/Content

Calculus course is a compulsory subject that equips students with an understanding of calculus material. In this course, students learn to master the concept of limits and apply limits to calculate derivatives. Geometrically, the derivative represents the slope of the tangent line to the graph of a function at a given point. Antiderivatives: Antiderivatives, also known as indefinite integrals, are the reverse process of taking derivatives. They allow us to find the original function when its rate of change is known. Integrals: Integrals are mathematical tools used to compute the area under curves, calculate the volume of the wake up space, and solve accumulation problems.

Study Material

limit

limit

limit

derivative

derivative

Derivatives

Derivative

*Students are expected to be able to answer the questions given with the right and correct answers

anti-derivative

Definite integral

Basic theorem of calculus

Integral

integral application

Integral application

Integral application

*Students are expected to be able to understand and master all the material that has been studied and work on the questions correctly and appropriately while still paying attention to honesty in answering

5

Teaching methods

Synchronous: face to face/online meeting

Asynchronous: Module delivery via elearning

6

Assesment Methods

Attendance and participation

7

This module/course is used in the following study programme/s as well

Computer Science Study Programme

8

Responsibility for module/course

  • Ni Wayan Marti, S.Kom., M.Kom
  • NIDN : 0028117701

9

Other Information

  1. Robert A. Adam and Christopher Essex, 2010, Calculus, A Complete Course, Pearson.
  2. Ron Larson, Bruce Edwards. (2023). Calculus. Boston:Cengage Learning
  3. Dale Varberg, Edwin Purcell, Steve Rigdon. (2006). Student Solutions Manual for C. Pearson
  4. Dale Varberg, Edwin Purcell, Steve Rigdon. (2000). Calculus. Prentice Hall
  5. Alberto Torchinsky. 2022.  A Modern View of the Riemann Integral. Series: Lecture Notes in Mathematicsalculus. Cham:Springer