This document outlines the syllabus and teaching plan for a Calculus course over 14 weeks. It includes topics such as real number systems, functions, limits, derivatives, applications of derivatives, integrals, integral techniques, and applications of integrals. Students will learn about these concepts through weekly tutorials and lectures. They will also complete a group project on mathematical modeling over several weeks which involves teamwork, and will present their findings at the end of the course.

1. SILABUS (SYLLABUS) & RANGKA PENGAJARAN (TEACHING PLAN):
Minggu Tajuk/Silabus (K/T/L) JJP
1.
Pre-Calculus
1.1 Real Number System
1.2 Uncertainty, Interval , Absolute Value
1.3 Type of Function
K 2
2.
Pre-Calculus
(a) Domain and Range
(b) Starting Ideas about Limit and Continuity
(c) The Derivative as a Limit
Tutorial 1
K
T
2
1
3.
Basic Differential
(a) Algebra Function
(b) Trigonometric Function
(c) Logarithm
(d) Exponent
Tutorial 2
K
T
2
1
4.
Differential of Function
(a) The Chain Rule Equation
(b) Implicit Differentiation
(c) Extreme Level Differentiation
Tutorial 3
K
T
2
1
5.
Application of Differentials
(a) Maximum and Minimum
(b) The First and Second Derivatives Tests.
Tutorial 4
K
T
2
1
6.
Application of Differentials
(a) The Mean Value Theorem
(b) Rolle Theorem
(c) Maclaurin Series and Taylor Series
Tutorial 5
K
T
2
1
7.
Applications of Differentials in Sciences Tutorial 6 K
T
2
1
8
Integrals
(a) Concept of Integrals
Tutorial 7
K
T
3
1
9
Integral techniques
(a) Integration by Substitution
(b) Integration by Parts
(c) Improper Integrals
Tutorial 8
K
T
2
1

2. 10
Applications of Integrals Tutorial 9
K
T
2
1
11 Calculus’s Project
Mathematical Modeling
K
Team work
2
2
12 Calculus’s Project
Mathematical Modeling
Team work 2+2
13
Presentation I
Team work 2+2
14
Presentation II
Team w