Course Materials
Lessons
Derivative of Sine Functions
- Video - Differentiation of Sine Function: Chain Rule 1 (3:21)
- Video - Differentiation of Sine Function: Chain Rule 2 (2:01)
- Video - Differentiation of Sine Function: Chain Rule 3 (2:33)
- Video - Differentiation of Sine Function: Chain Rule 4 (5:02)
- Video - Differentiation of Sine Function: Product Rule 1 (4:54)
- Video - Differentiation of Sine Function: Product Rule 2 (4:16)
- Video - Differentiation of Sine Function: Product Rule 3 (3:06)
- Video - Differentiation of Sine Function: Quotient Rule 1 (3:17)
- Video - Differentiation of Sine Function: Quotient Rule 2 (2:39)
- Video - Differentiation of Sine in Degrees (7:16)
- Video - Derivative Value of Sine Functions (1:33)
Derivatives of Cosine Functions
- Video - Differentiation of Cosine Function: Chain Rule 1 (3:17)
- Video - Differentiation of Cosine Function: Chain Rule 2 (5:10)
- Video - Differentiation of Cosine Function: Chain Rule 3 (4:10)
- Video - Differentiation of Cosine Function: Chain Rule 4 (3:02)
- Video - Differentiation of Cosine Function: Product Rule 1 (2:25)
- Video - Differentiation of Cosine Function: Product Rule 2 (2:58)
- Video - Differentiation of Cosine Function: Product Rule 3 (3:16)
- Video - Differentiation of Cosine Function: Quotient Rule (6:30)
- Video - Differentiation of Cosine in Degrees (2:55)
- Video - Stationary Points involving Cosine Functions (4:05)
Derivatives of Exponential Functions
- Video - Derivative of Exponential Functions (1:30)
- Video - Derivative of Exponential Functions using Chain Rule (6:29)
- Video - Derivative of Exponential Functions using Quotient Rule (7:20)
- Video - Derivative of Exponential Functions using Product Rule (6:12)
- Video - Second Derivative of Exponential Functions (6:10)
- Video - Equations of Tangent of Exponential Functions (4:46)
- Video - Stationary Point using Derivative of Exponential Functions (9:56)
- Video - Maximum Turning Point of Exponential Functions (7:18)
Derivatives of Logarithmic Functions
- Video - Fundamental of Derivative of Logarithmic Functions (2:41)
- Video - Derivative of Logarithmic Functions using Logarithm Law of Addition (4:06)
- Video - Derivative of Logarithmic Functions using Logarithm Law of Subtraction (1:47)
- Video - Derivative of Logarithmic Functions involving Indices (3:36)
- Video - Derivative of Mixed Logarithmic Functions (5:24)
- Video - Derivative of Non-Natural Logarithmic Functions (3:09)
- Video - Stationary Points using Derivative of Logarithmic Functions (5:32)
- Video - Derivative of Logarithmic Functions using Quotient Rule (4:40)
- Video - Tangents and Normals of Logarithmic Functions (2:15)
Turning Points
- Video - Coordinates of Turning Points (7:30)
- Video - Identifying Nature of Turning Points from Derivative Curves (5:25)
- Video - Identifying Nature of Turning Points using Tables (5:08)
- Video - Identifying Stationary Points (8:17)
- Video - Understanding Nature of Stationary Points (5:31)
- Video - No Stationary Points (1:50)
- Video - Condition of Being Stationary Points (2:51)
- Video - Maximum and Minimum Turning Points (6:49)
- Video - Stationary Points by their Shapes (7:34)
- Video - Maximum and Minimum Turning Points of Quartic Functions (7:54)
Curves of Rational Functions
- Video - Understanding Curve Sketching involving Asymptotes (5:00)
- Video - Finding Oblique Asymptotes Vertical Asymptotes (4:06)
- Video - Turning Points of Hyperbola (3:42)
- Video - Nature of Turning Points of Hyperbola (7:02)
- Video - Curve Sketching of Hyperbola involving Asymptotes (0:47)
- Video - Understanding Curve Sketching involving Symmetry (1:24)
- Video - Even Functions Odd Function (1:49)
- Video - Differentiation using Quotient Rule (2:29)
- Video - Turning Points of Rational Functions (1:17)
- Video - Nature of Turning Points of Rational Functions (3:03)
- Video - x-Intercepts of Rational Functions (0:58)
- Video - Vertical Asymptotes in Rational Functions (1:53)
- Video - Horizontal Asymptotes in Rational Functions (4:52)
- Video - Curve Sketching of Rational Functions involving Symmetry (1:53)
Gradient Functions
- Video - Principle of Graphing Gradient Functions (5:08)
- Video - Gradient Function Graphs of Straight Lines (5:23)
- Video - Gradient Function Graphs of Parabola (8:13)
- Video - Gradient Function Graphs of Cubic Functions (10:46)
- Video - Gradient Function Graphs of Hyperbola (13:22)
- Video - Gradient Function Graphs of Surds (12:19)
- Video - Gradient Function Graphs of Periodic Functions (8:15)
- Video - Gradient Function Graphs of Quartic Functions (8:25)
- Video - Gradient Function Graphs of Semicircle (2:24)
- Video - Gradient Function Graphs of Exponential Functions (2:11)
- Video - Gradient Function Graphs of Logarithmic Functions (1:47)
- Video - Introduction to Sketching Curves from Derivatives (7:49)
- Video - Sketching Curves from Derivatives involving Concave Down (3:35)
- Video - Sketching Curves from Derivatives involving Point of Inflection (2:39)
- Video - Sketching Curves from Graphs of Derivatives 1 (4:33)
- Video - Sketching Curves from Graphs of Derivatives 2 (8:23)
Kinematics
- Video - Velocity and Speed using Exponential Functions (1:10)
- Video - Motion At Rest in Exponential Functions (1:38)
- Video - Motion Never At Rest (1:40)
- Video - Displacement-time Graphs (8:46)
- Video - Displacement-Velocity Graphs: Lines (7:12)
- Video - Displacement-Velocity Graphs: Curves (6:09)
- Video - Velocity-Time Graphs: Straight Lines (20:27)
- Video - Velocity-Time Graphs: Piecewise Graphs (17:12)
- Video - Velocity-Time Graphs: Curves (8:26)
- Video - Acceleration-Time Graphs: Concave Downwards (8:27)
- Video - Acceleration-Time Graphs: Concave Upwards (6:43)
Basic Integration Rules
- Video - Principles of Antidifferentiation (7:29)
- Video - Antidifferentiation and Differentiation (6:10)
- Video - Antidifferentiation of Polynomial Functions (3:51)
- Video - Integration of Fractions (7:09)
- Video - Integration for Surds (7:34)
- Video - Basic Integration Rules (7:18)
- Video - Integration of Multi Term Expressions (2:25)
- Video - Integration of Rational Exponents (9:38)
- Video - Simplifying before Integration (9:37)
- Video - Expanding before Integration (7:27)
- Video - Binomial Expansion before Integration (6:34)
Integration of Power Functions
- Video - Principle of Integration of Power Function (2:49)
- Video - Integration of Power Functions (1:56)
- Video - Integration of Power Functions involving Fractions (2:23)
- Video - Integration of Power Functions Surds (1:06)
- Video - Integration of Power Functions (5:32)
- Video - Integration of Reciprocal Functions (1:35)
- Video - Integration of Irrational Functions (4:32)
- Video - Integration of Reciprocal Irrational Functions (4:41)
Particular Values
- Video - Finding Integral Constants (7:27)
- Video - Finding Integral Constants involving Point of Inflections (4:45)
- Video - Finding Integral Constants involving Second Derivatives (2:33)
- Topic - Finding Integral Constants from Linear Expressions
- Topic - Integral Constants by Non-Monic Expressions from Linearity
- Topic - Finding Integral Constants from Quadratics
- Topic - Integral Constants using Non-Monic Expressions from Quadratics
- Topic - Finding Two Integral Constants from Linear Expressions
Indefinite Integration by Recognition
- Video - Reverse Chain Rule (7:06)
- Video - Integration by Recognition: Using Derivative of Exponential Functions (3:45)
- Video - Integration by Recognition using Derivative of Sine Function (3:32)
- Video - Integration by Recognition using Derivative of Cosine Function (4:20)
- Video - Integration by Recognition using Derivative of Tangent Function (4:16)
- Video - Integration by Recognition: Using Derivative of Logarithmic Functions (4:10)
- Video - Integration by Recognition using Product Rule (6:16)
- Video - Integration by Recognition using Long Division (7:22)
- Video - Integration of cosec x by Recognition involving Log TAN (4:18)
- Video - Integration of sec x by Recognition (4:52)
Definite Integral of Exponential Functions
- Video - Definite Integration of Exponential Functions (6:47)
- Video - Volume of Region bounded by Exponential Graphs (1:57)
- Topic - Definite Integral of Exponential Functions
- Topic - Definite Integral of Exponential Functions involving Reciprocals
- Topic - Definite Integral of Exponential Functions involving Expansions
- Topic - Definite Integral of Exponential Functions involving Surds
Integration of Rational Functions
- Video - Integration Rule of Rational Functions (5:13)
- Video - Integration Rule of Rational Functions involving Coefficients (6:59)
- Video - Integration Rule of Rational Functions after Simplification (6:16)
- Video - Integration of Rational Functions by Substitution (2:54)
- Video - Integrating Linear by Linear Resulting Natural Log Functions (3:11)
- Video - Integrating Quadratics by Linear Resulting Natural Log Functions (2:18)
- Video - Integrations of Cubic by Quadratic Resulting Natural Log Functions (2:31)
Definite Integral of Rational Functions
- Video - Finding Area by Differentiating Logarithmic Functions (3:12)
- Video - Integration Rule of Rational Functions involving Natural Exponents (1:20)
- Video - Definite Integration of Rational Functions (2:10)
- Topic - Integral of Rational Functions: Basic Form
- Topic - Integral of Rational Functions: Monic Linear Denominator
- Topic - Integral of Rational Functions: Non-Monic Linear Fractions
- Topic - Integral of Rational Functions: Multi-Term Denominators
- Topic - Integral of Rational Functions: Multi-Term by Non-Monic
- Topic - Integral of Rational Functions: Non-Monic Factor by Multi-Term
- Topic - Integral of Rational Functions: Non-Monic Factor Fractions
- Topic - Integral of Rational Functions: Non-Monic Multi-Term
- Topic - Integral of Rational Functions: Non-Monic Multi-Term Fractions
- Topic - Integral of Rational Functions: Monic Quadratic Denominators
- Topic - Integral of Rational Functions: Non-Monic Quadratic Denominators
- Topic - Integral of Rational Functions: Non-Monic Cubic Denominators
- Topic - Integral of Rational Functions: Rational Expressions
- Topic - Integral of Rational Functions: Non-Monic Rational Expressions
Area Under a Curve
- Video - Theory of Area under Curves (4:17)
- Video - Area under Curves given Domains (6:09)
- Video - Area between Curves and Axes (5:01)
- Video - Signed Area (5:47)
- Video - Combined Positive and Negative Areas (5:09)
- Video - Positive and Negative Areas by Sketching Curves (4:00)
- Video - Theory of Area under Trigonometric Curves (2:58)
- Video - Finding the Area under Sine Curves (5:28)
- Video - Finding the Area under Cosine Curves (3:12)
Area between Two Functions
- Video - Area between Two Curves 1 (3:56)
- Video - Area between Two Curves 2 (6:24)
- Video - Area between Two Curves 3 (3:09)
- Video - Signed Area between Two Curves (4:39)
- Video - Combined Signed Areas between Two Curves 1 (6:43)
- Video - Combined Signed Areas between Two Curves 2 (8:49)
- Video - Finding Area between Sine Curve & a Straight Line (10:44)
- Video - Finding the Area between Sine and Cosine Curves (7:15)
Kinematics using Integration
- Video - Expression of the Distance using Integration (2:23)
- Video - Working with Velocity in Trigonometric Functions (3:11)
- Video - Working with Acceleration in Natural Exponential Functions (5:12)
- Video - Maximum Speed using Acceleration 1 (5:38)
- Video - Maximum Speed using Acceleration 2 (2:54)
- Video - Changes in Displacement and Velocity (2:57)
