📚 What you'll learn
✓Understand limits and evaluate them using all techniques
✓Differentiate using power, product, quotient and chain rules
✓Apply implicit differentiation and higher derivatives
✓Find stationary points and solve optimization problems
✓Integrate using substitution and integration by parts
✓Evaluate definite integrals and calculate areas
✓Compute volumes of revolution
✓Solve first-order differential equations
Course Curriculum
4 sections · 21 lessons · 28 hours total
01Limits & Continuity
4 lessons · 4h▾
📖
Introduction to LimitsLesson
FREE
📖
Limit Laws & Evaluation TechniquesLesson
FREE
📖
Continuity & Types of DiscontinuityLesson
📝
Limits Practice -- 50 ProblemsQuiz
02Differentiation -- Rules & Techniques
7 lessons · 7h▾
📖
The Derivative -- Definition & MeaningLesson
FREE
📖
Standard Differentiation RulesLesson
FREE
📖
Product Rule & Quotient RuleLesson
📖
Chain Rule -- Composite FunctionsLesson
📖
Implicit DifferentiationLesson
📖
Stationary Points & OptimizationLesson
📝
Differentiation Practice -- 100 ProblemsQuiz
03Integration -- Techniques & Applications
7 lessons · 9h▾
📖
Introduction to IntegrationLesson
📖
Integration by SubstitutionLesson
📖
Integration by PartsLesson
📖
Definite Integrals & Fundamental TheoremLesson
📖
Area Between Curves & VolumesLesson
📖
Differential EquationsLesson
📝
Integration Practice -- 100 ProblemsQuiz
04Exam Preparation & Special Topics
3 lessons · 5h▾
📖
Curve Sketching Using CalculusLesson
📖
Trapezium Rule & Numerical IntegrationLesson
📝
Calculus Final Exam -- 80 ProblemsQuiz