**Introduction**

This course will give the basic of mathematics and examples of its applications in the real world accompanied with the skill to use Matlab or Mapel to solve math problems.

**Syllabus**

**Week 1 : Basic Math**

This course will teach about introduction to numbers, coordinate system, equality, and inequality

**Week 2 : Function**

This course will teach about definition of function, domain and range, composition, types of function, and drawing function

**Week 3 : Algebraic Limits**

This course will teach about definition of limits, right and left limits, rule of limits, infinite limits, infinite limits of rational function

**Week 4 : Non-Algebraic Limits**

This course will teach about continuous function, trigonometric limits, exponential limits, and limits of composition function

**Week 5 : Derivative**

This course will teach about basic derivative, rule of derivative, and chain rule

**Week 6 : Derivative of function**

This course will teach about derivative of trigonometric function, derivative of exponential function, derivative of logarithmic function

**Week 7 : Higher order derivative and partial derivative**

This course will teach about higher order derivative, implicit derivative, partial derivative and higher order partial derivative

**Week 8 : Definite integral**

This course will teach about basic definite integral, substitution of integral, partial integral, and reduction function

**Week 9 : Finite integral**

This course will teach about basic finite integral, calculating length of arch, area, and volume

**Week 10 : Double and triple integral**

This course will teach about double integral, triple integral, and application of integral

**Week 11 : Odd integral and line integral**

This course will teach about odd integral type 1, type 2 and line integral

**Week 12 : Homogeneous differential equation **

This course will teach about definition of homogeneous differential equation, first and second order homogeneous differential equation

**Week 13 : Non-homogeneous differential equation**

This course will teach about definition of non-homogeneous differential equation, first and second order non-homogeneous differential equation

**Week 14 : Case study of calculus in informatics engineering**

This course will teach about application of calculus in informatics engineering

**Assessment**

- Attendance – 10%
- Assignment – 20%
- Final Assignment – 20%
- Midterm exams – 20%
- Final exams – 30%

**Textbook**

- Calculus, 5th Ed. Frank Ayres and Elliott Mendelson. McGrawHill.
- Beginning Calculus, 3rd Ed. Elliott Mendelson. McGrawHill.
- Advanced Calculus, 3rd Ed. Robert Wrede and Murray R. Spiegel. McGrawHill.
- Calculus (Early Transcendental), 6th Ed. James Stewart. Thomson.

**Score**

Download here