Bridge Course for Science & Enginnering Students
Physics
Maths
1. Sets, Relations, & Functions
Sets
Set Builder Notation
Number Sets
Intervals
Venn Diagram: Basics
Venn Diagram: Distributive Law
Relations
Functions
Composite Functions
Graph: Constant
Graph: Linear
Graph: Absolute Value
Graph: Quadratic
Graph: Square Root
Graph: Cubic
Graph: Cube Root
Graph: Inverse
Graph: Rational
Graph: Logarithm
Graph: Exponent
Graph: Step Function
Graph: Sine
Graph: Cosine
Graph: Tangent
2. Matrices & Determinants
Order of a Matrix
Transpose
Symmetry
Skew Symmetry
Addition
Multiplication By A Scalar
Matrix Multiplication
Determinants
3. Limit & Continuity
Continuity
Derivative
Derivative Sign
4. Application of Derivatives
Derivative Sign
Turning Points
Global and Local Extrema
5. Integration
Derivative
Indefinite Integrals
Geometric Meaning
Geometric Interpretation
6. Application of Integral Calculus
Area with X-axis
Area with Y-axis
Positive and Negative Areas
7. Differential Equations
O.D.E. and P.D.E.
Simple Harmonic Motion
Population Dynamics
Chemical Reactions
Market Equilibrium
8. Vector Analysis
Components
Norm
Sum
Angle Between Vectors
Projection
9. Probability
Sample Space
Tree Diagram
Generating Sample Space
Addition Rule