Differential Calculus

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Course curriculum

1. Topics We Will Cover
1. Lesson Notes (w/o solutions)
2. Lesson Notes (w/ solutions)
3. Intro to Derivatives | Practice Questions (w/ solutions)
1. Lesson Notes (w/o solutions)
2. Lesson Notes (w/ solutions)
3. Mock Test
4. Mock Test Solutions
5. The Derivative as a Limit | Practice Questions (w/ solutions)
1. Lesson Notes (w/o solutions)
2. Lesson Notes (w/ solutions)
3. A Rule for Differentiating Powers of x | Practice Questions (w/ Solutions)
4. The Notation dy/dx for the Derivative | | Practice Questions (w/ Solutions)
1. Lesson Notes (w/o solutions)
2. Lesson Notes (w/ solutions)
3. Chain Rule | Practice Questions (w/ Solutions)
1. Lesson Notes (w/o solutions)
2. Lesson Notes (w/ solutions)
3. Product Rule | Practice Questions (w/ Solutions)
1. Lesson Notes (w/o solutions)
2. Lesson Notes (w/ solutions)
3. Quotient Rule | Practice Questions (w/ Solutions)
1. Lesson Notes (w/o solutions)
2. Lesson Notes (w/ solutions)
3. Mock Test
4. Mock Test Solutions
5. The Derivatives of Trigonometric Functions | Practice Questions (w/ Solutions)
6. Applications of Trigonometric Functions Differentiation | Practice Questions (w/ Solutions)
7. Behaviour of sinx near the origin | Practice Questions (w/ Solutions)
1. Lesson Notes (w/o solutions)
2. Lesson Notes (w/ solutions)
3. The Exponential Function and its Derivative | Practice Questions (w/ Solutions)
4. Applications of the Exponential Function Differentiation | Practice Questions (w/ Solutions)
1. Lesson Notes (w/o solutions)
2. Lesson Notes (w/ solutions)
3. Limits and Continuity | Practice Questions (w/ Solutions)
1. Lesson Notes (w/o solutions)
2. Lesson Notes (w/ solutions)
3. Differentiability | Practice Questions (w/ Solutions)
1. Lesson Notes (w/o solutions)
2. Lesson Notes (w/ solutions)
3. Increasing, Decreasing and Stationary at a Point | Practice Questions (w/ Solutions)
1. Lesson Notes (w/o solutions)
2. Lesson Notes (w/ solutions)
3. Mock Test
4. Mock Test Solutions
1. Lesson Notes (w/o solutions)
2. Lesson Notes (w/ solutions)
3. Second and Higher Derivatives | Practice Questions (w/ Solutions)
1. Lesson Notes (w/o solutions)
2. Lesson Notes (w/ solutions)
3. Mock Test
4. Mock Test Solutions
5. Stationary Points and Turning Points | Practice Questions (w/ Solutions)
6. Critical Values | Practice Questions (w/ Solutions)
1. Lesson Notes (w/o solutions)
2. Lesson Notes (w/ solutions)
3. Concavity and Points of Inflexion | Practice Questions (w/ Solutions)
1. Lesson Notes (w/o solutions)
2. Lesson Notes (w/ solutions)
3. Mock Test
4. Mock Test Solutions
1. Lesson Notes (w/o solutions)
2. Lesson Notes (w/ solutions)
3. Mock Test
4. Mock Test Solutions
5. Implicit Differentiation | Practice Questions (w/ Solutions)
1. Lesson Notes (w/o solutions)
2. Lesson Notes (w/ solutions)
3. Mock Test
4. Mock Test Solutions
5. Curve Sketching using Calculus | Practice Questions (w/ Solutions)
1. Lesson Notes (w/o solutions)
2. Lesson Notes (w/ solutions)
3. Mock Test
4. Mock Test Solutions
5. Rates of Change | Practice Questions (w/ Solutions)
1. Lesson Notes (w/o solutions)
2. Lesson Notes (w/ solutions)
3. Mock Test
4. Mock Test Solutions
5. Global Maximum and Minimum | Practice Questions (w/ Solutions)
6. Applications of Maximisation and Minimisation | Practice Questions (w/ Solutions)
1. Lesson Notes (w/o solutions)
2. Lesson Notes (w/ solutions)
3. Average Velocity and Speed | Practice Questions (w/ Solutions)
4. Velocity and Acceleration as Derivatives | Practice Questions (w/ Solutions)
1. Lesson Notes (w/o solutions)
2. Lesson Notes (w/ solutions)
3. Antiderivatives | Practice Questions (w/ Solutions)
1. Lesson Notes (w/o solutions)
2. Lesson Notes (w/ solutions)
3. Mock Test
4. Mock Test Solutions
5. Antidifferentiation Kinematics
1. Summary Sheet
2. In-Class Exam 1
3. In-Class Exam 2
4. In-Class Exam 3
5. In-Class Exam 4
6. In-Class Exam 5
7. In-Class Exam 1-5 Solutions
8. Past Exam 1
9. Past Exam 1 Solutions
10. Past Exam 2
11. Past Exam 2 Solutions
12. Past Exam 3

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Differential Calculus

Course curriculum

BSSS Syllabus Overview

Intro, Rates of Change, and First Principle Derivation

Limits

Operations and Notation

Chain Rule

Product Rule

Quotient Rule

Trigonometric Derivatives

Exponential Derivatives

Continuity

Differentiability

Increasing and Decreasing Regions

Tangents and Normals

Higher Derivatives

Stationary Points

Concavity

Graphs of Gradient Functions

Implicit Differentiation

Rational Function and Curve Sketching

Rates of Change

Optimisation

Kinematics

Antidifferentiation

Antidifferentiation Kinematics

In-Class and Final Exam Revision Papers

About this course

Discover your potential, starting today