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Mathematics 100% FREE Intermediate

Calculus — Differentiation & Integration

Master Calculus from limits to integration. Derivatives, chain rule, optimization, integrals, and areas. Perfect for A-Level, FSc, and university.
4.7 ★★★★★ (380)
21 lessons
28 hours
1,400 students
👨‍🏫
Irfana Aslam
MS CS · COMSATS University · Math & Science Educator
CALC
FREE
100% FREE
Full course · 21 lessons · 28 hours
This course includes
50 lessons (28 hours)
500+ solved problems
A-Level past paper questions
Complete formula sheet
A-Level and FSc focused
Progress
0% 0/21 lessons
📚 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