Basic Mathematic (BM)

This course discusses the theories related to the basics of mathematics required at the undergraduate level of the mathematics study program. Concepts and theories regarding real numbers, function operations, limits, continuity, derivatives, integrals, and transcendent functions are given as the basis for stimulating systematic, critical, and logical thinking patterns. Some examples of the application of these concepts are also given to understand the use of the concepts learned so that they can foster creativity and reasoning in solving a problem.

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.

Ordinary Differential Equation (ODE)

This course discusses the theories related to mathematics required at the undergraduate level of the mathematics study program. Concepts and theories regarding Ordinary Differential Equations (ODE) and several methods for solving various types of ODEs are discussed in this lecture. In addition, a more detailed explanation will be presented regarding the initial value problem, first-order ODE, homogeneous and non-homogeneous linear ODE, and Laplace transformation. Several examples of the application of the concept are also given so that undergraduate students understand its use so that it can spur creativity and students' thinking in solving a problem, especially in the field of national defense.

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

References:

• William E. Boyce, Richard C. DiPrima, and Douglas B. Meade. 2017. Elementary Differential Equations and Boundary Value Problems. Wiley, 11^th ed.

• H.J. Lee and W.E. Schiesser. 2004. Ordinary and Partial Differential Equation Routines in C, C++, Fortran, Java, Maple, and MATLAB. Chapman & Hall / CRC. 1^th ed.

• Erwin Kreyzig, Herbert Kreyzig, and Edward J. Norminton. 2011. Advanced Engineering Mathematics. Wiley, 10^th ed.