## Topic outline

• ### General

#### Course Outcomes

By the end of this course, student should be able to

(i)  Acquire and apply the fundamental principle of calculus
(ii) Apply the appropriate method to solve mathematical problems
(iii) Provide solution to solve mathematical problems arise from real life

#### 2. Siti Zanariah Satari, Mohd Nizam Kahar, Norazaliza Mohd Jamil, Calculus for Science & Engineering, First Edition, UMP 2010.

3. Norazaliza Mohd Jamil, Nor Alisa Mohd Damanhuri, Yuhani Yusof, Nor Aida Zuraimi Md Noar, Norhafizah Md Sarif, Mathematical Formulae, First Edition, UMP 2017.

• Forum
• ### Topic 1

#### Chapter 1A : Limit & Continuity

1.1 Limit of a Function
1.2 Evaluating Limit
1.2.1 Evaluate Limit using Numerical Method
1.2.2 Evaluate Limit using Graphical Method
1.2.3 Evaluate Limit using Analytical Method

• ### Topic 3

#### Chapter 2A : Differentiation

3.1 Introduction to Differentiation
3.2 Derivative of a Functions
3.3 Techniques of Differentiation

• ### Topic 4

#### Chapter 2B : Differentiation

4.1 Implicit Differentiation
4.2 Parametric Equation
4.3 Higher Derivative
• ### Topic 5

#### Chapter 3A : Applications of Differentiation

5.1 Curve Slope at a Point
5.2 Rate of Change

• ### Topic 6

#### Chapter 3B : Applications of Differentiation

6.1  First Derivative Test
6.2 Second Derivative Test
6.3 Inflection Points

### Chapter 4A : Integrations

7.1 Antiderivatives
7.2 Indefinite Integrals
7.3 Definite Integrals

• ### Topic 8

#### ### Chapter 4B : Integrations

8.1 Integration by Substitution
8.2 Integration by Parts

8.3 Integration using Partial Fractions

• ### Topic 9

#### Chapter 5A : Applications of Integration

9.1 Area
9.1.1 Area Under a Curve
9.1.2 Area Between Two Curves
9.2 Surface Area

• ### Topic 10

#### Chapter 5B : Applications of Integration

10.1 Volume - Slicing Method
10.2 Volume - Disk Method
10.3 Volume - Cylindrical Shells