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
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