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Math Deficiency - I

U1
Sets
topic 1
1 topics
01
Sets: Definition, Representation, and Operations
U2
Relation and Function
topic 2 to 14
13 topics
02
Relation and Function: Graphical Transformation of Functions
03
Properties of Functions
04
Composition and Inverses of Functions
05
Domain and Range of Functions
06
Maximum and Minimum Values of Functions
07
Increasing and Decreasing Functions
08
Zeros and Intercepts of Functions
09
Piecewise Functions
10
Continuity and Discontinuity of Functions
11
Polynomials and Rational Functions
12
Polynomial Long Division and Synthetic Division
13
Solution of Rational Functions
14
Absolute Valued Functions and Their Properties
U3
Asymptotes
topic 15 to 17
3 topics
15
Asymptotes: Horizontal, Vertical, and Oblique
16
Exponential Functions and Their Properties
17
Logarithmic Functions and Their Properties
U4
Systems of Equations
topic 18 to 19
2 topics
18
Systems of Equations: Two Equations and Two Unknowns
19
Systems of Equations: Three Equations and Three Unknowns
U5
Matrix Algebra
topic 20 to 22
3 topics
20
Matrix Algebra: Addition, Subtraction, and Multiplication
21
Row Operations and Row Echelon Forms
22
Augmented Matrices
U6
Determinant of Matrices
topic 23 to 26
4 topics
23
Determinant of Matrices: 2x2 and Higher Order
24
Cramer's Rule
25
Inverse Matrices
26
Series and Sequences
U7
Trigonometry
topic 27 to 34
8 topics
27
Trigonometry: Angles in Radians and Degrees
28
Right Triangle Trigonometry
29
Law of Cosines and Sines
30
Area of a Triangle
31
Graphs of Trigonometric Functions
32
Graphs of Inverse Trigonometric Functions
33
Basic Trigonometric Identities
34
Trigonometric Equations
U8
General Form of a Conic
topic 35 to 38
4 topics
35
General Form of a Conic: Parabolas, Circles, Ellipses, and Hyperbolas
36
Degenerate Conics
37
Polar and Parametric Equations
38
Polar and Rectangular Coordinates

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