Integral Calculus (IC)

The topics in this lecture consist of integrals, integral applications, transcendent functions, integration techniques, indefinite forms of limit functions, improper integrals, and sequences and series of real numbers. This course provides various integral concepts and provides direction for solving problems related to lecture topics and their applications. 

You can download this lecture file here. For more information, don't hesitate to contact my email.

References:

• Dale Varberg, Edwin Purcell, and Steve Rigdon. 2007. Calculus. Prentice Hall, 9^th ed.
• Thomas. 2005. Calculus. Pearson Education, 11^th ed.
• James Stewart. 1999. Calculus. Brooks/Cole Publishing Company, 4^th ed.

Algorithms and Programming (AP)

This course discusses the theories related to algorithms and mathematical programming required at the undergraduate level of the mathematics study program. An understanding of the concept of algorithms, making flow charts, as well as an introduction to the MATLAB software is given as a learning tool before starting to make programs. Furthermore, problems are given as practice material in constructing and making programs to solve problems mathematically. Some examples of relevant applications are also given to understand the application of the concepts learned so as to foster creativity and reasoning in students in solving a problem.

You can download this lecture file here. For more information, don't hesitate to contact my email.

References:

• S.R. Otto and J.P. Denier. 2005. An Introduction to Programming and Numerical Methods in MATLAB. Springer.
• Alexander Stanoyevitch. 2005. Introduction to MATLAB with Numerical Preliminaries. A John Wiley & Sons, Inc.
• Alex F. Bielajew. 2010. Introduction to Computers and Programming using C++ and MATLAB. University of Michigan.