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📚 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
01Limits & Continuity
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🎬
Introduction to LimitsVideo · 22:00
FREE
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Limit Laws & Evaluation TechniquesVideo · 25:00
FREE
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Continuity & Types of DiscontinuityVideo · 20:00
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Limits Practice -- 50 ProblemsQuiz · 45:00
02Differentiation -- Rules & Techniques
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The Derivative -- Definition & MeaningVideo · 25:00
FREE
🎬
Standard Differentiation RulesVideo · 28:00
FREE
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Product Rule & Quotient RuleVideo · 25:00
🎬
Chain Rule -- Composite FunctionsVideo · 28:00
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Implicit DifferentiationVideo · 22:00
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Stationary Points & OptimizationVideo · 30:00
📝
Differentiation Practice -- 100 ProblemsQuiz · 60:00
03Integration -- Techniques & Applications
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🎬
Introduction to IntegrationVideo · 22:00
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Integration by SubstitutionVideo · 28:00
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Integration by PartsVideo · 28:00
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Definite Integrals & Fundamental TheoremVideo · 25:00
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Area Between Curves & VolumesVideo · 28:00
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Differential EquationsVideo · 25:00
📝
Integration Practice -- 100 ProblemsQuiz · 60:00
04Exam Preparation & Special Topics
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🎬
Curve Sketching Using CalculusVideo · 25:00
🎬
Trapezium Rule & Numerical IntegrationVideo · 20:00
📝
Calculus Final Exam -- 80 ProblemsQuiz · 75:00