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MTH102 : Basic Algebra and Trigonometry

Course Overview

Course Synopsis

This course contents are Sets Real Numbers Complex Numbers Functions Quadratic Functions Matrices Inverse of a Matrix Determinants Arithmetic Progression and Arithmetic Series Geometric progression and Geometric Series Permutations and Combinations Binomial theorem Graphs and Functions Straight Lines and Circles Trigonometry Introduction of Statistics Frequency Distributions Graphical representation of data Measures Of Central Tendency and Partial Fractions.

Course Learning Outcomes

By the end of the course students should be able to learn

  • Understand the concept of sets and operations on different sets.
  • Define the concept of function domain range of a function composition of functions and inverse functions.
  • Apply matrices and determinant system of linear equations.
  • Define the concepts of Arithmetic sequences and series Geometric sequences and series and apply them in problem solving.
  • Apply Permutations Combinations and Binomial theorem them in problem solving.
  • Understand radians and degrees trigonometric functions and apply them to solve trigonometric equations.
  • Explain population sample data types of data and accumulate the data.


Course Calendar

1 Sets and Numbering Systems (Lecture # 1)
2 Sets and Numbering Systems (Lecture # 2)
3 Sets and Numbering Systems (Lecture # 3)
4 Function and Quadratics (Lecture # 4)
5 Functions and Quadratics (Lecture # 5)
6 Functions and Quadratics (Lecture # 6)
7 Functions and Quadratics (Lecture # 7)
Assignment 1
8 Matrices and Determinants (Lecture # 8)
9 Matrices and Determinants (Lecture # 9)
10 Matrices and Determinants (Lecture # 10)
11 Matrices and Determinants (Lecture # 11)
12 Matrices and Determinants (Lecture # 12)
Quiz 1
13 Sequence and Series (Lecture # 13)
14 Sequence and Series (Lecture # 14)
15 Sequence and Series (Lecture # 15)
Quiz 2
16 Review of Sets (Lecture # 16)
17 Review of Functions (Lecture # 17)
18 Review of Matrices (Lecture # 18)
19 Permutations(Lecture # 19)
20 Combinations (Lecture # 20)
21 Binomial theorem (Lecture # 21)
22 Coordinate Geometry (Lecture # 22)
Mid-semester Exam
23 Coordinate Geometry (Lecture # 23)
24 Coordinate Geometry(Lecture # 24)
25 Trigonometry (Lecture # 25)
26 Trigonometry (Lecture # 26)
27 Trigonometry (Lecture # 27)
28 Trigonometry (Lecture # 28)
29 Trigonometry (Lecture # 29)
30 Trigonometry (Lecture # 30)
31 Review of Sequence and Series (Lecture # 31)
32 Review of Permutation and Combination, Binomial Theorem (Lecture # 32)
33 Review of Binomial Theorem, Coordinate Geometry (Lecture # 33)
34 Review of Coordinate Geometry, Trigonometry (Lecture # 34)
35 Statistics (Lecture # 35)
36 Statistics (Lecture # 36)
37 Representation of Data (Lecture # 37)
38 Measures of Central Tendency (Lecture # 38)
39 Measures of Central Tendency (Lecture # 39)
40 Measures of Central Tendency and Measures of Dispersion (Lecture # 40)
41 Partial Fractions (Lecture # 41)
42 Partial Fractions (Lecture # 42)
43 Partial Fractions (Lecture # 43)
44 Partial Fractions (Lecture # 44)
45 Trigonometric Identities (Lecture # 45)
End-semester Exam