A level Pure Maths Zimsec

Welcome to A level Pure Maths Zimsec — the complete ZIMSEC Forms 5–6 course.

This course is organised into 7 months (28 weeks). Each week has 4 days of lesson notes and a Day 5 quiz. Every month ends with a comprehensive End of Month Test.

Covers Algebra, Geometry and Vectors, Series and Sequences, Trigonometry, Calculus, Numerical Methods and Complex Numbers.

Curriculum

35 Sections
147 Lessons
28 Weeks

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Week 1: Indices, Surds and Proportionality
5 Items
- 1.1
  Week 1 Day 1: Rational Indices and General Laws of Indices
  35 Minutes
- 1.2
  Week 1 Day 2: Surds — Simplification, Rationalisation and Operations
  35 Minutes
- 1.3
  Week 1 Day 3: Direct, Inverse and Joint Variation
  35 Minutes
- 1.4
  Week 1 Day 4: Partial and Total Variation — Modelling Life Situations
  35 Minutes
- 1.5
  Week 1 Day 5: Week 1 Quiz — Indices & Proportionality
  25 Minutes
Week 2: Polynomials — Operations and Theorems
5 Items
- 2.1
  Week 2 Day 1: Polynomial Operations — Addition, Subtraction, Multiplication, Division
  35 Minutes
- 2.2
  Week 2 Day 2: Factor and Remainder Theorems
  35 Minutes
- 2.3
  Week 2 Day 3: Quadratic Operations and Factorisation Techniques
  35 Minutes
- 2.4
  Week 2 Day 4: Solving Cubic and Higher Order Polynomial Equations
  35 Minutes
- 2.5
  Week 2 Day 5: Week 2 Quiz — Polynomials
  25 Minutes
Week 3: Identities, Equations and Inequalities
5 Items
- 3.1
  Week 3 Day 1: Algebraic Identities — Definition and Unknown Coefficients
  35 Minutes
- 3.2
  Week 3 Day 2: Linear and Simultaneous Equations
  35 Minutes
- 3.3
  Week 3 Day 3: Quadratic Equations — Discriminant and Nature of Roots
  35 Minutes
- 3.4
  Week 3 Day 4: Linear and Quadratic Inequalities — Sign Diagrams
  35 Minutes
- 3.5
  Week 3 Day 5: Week 3 Quiz — Identities & Inequalities
  25 Minutes
Week 4: Partial Fractions and Algebraic Manipulation
5 Items
- 4.1
  Week 4 Day 1: Introduction to Partial Fractions — Distinct Linear Factors
  35 Minutes
- 4.2
  Week 4 Day 2: Repeated Linear Factors and Irreducible Quadratic Factors
  35 Minutes
- 4.3
  Week 4 Day 3: Improper Fractions and Long Division
  35 Minutes
- 4.4
  Week 4 Day 4: Applications of Partial Fractions in Series and Integration
  35 Minutes
- 4.5
  Week 4 Day 5: Week 4 Quiz — Partial Fractions
  25 Minutes
End of Month 1 Test
1 Item
- 5.1
  End of Month 1 Test — Comprehensive Quiz (Weeks 1–4)
  60 Minutes
Week 5: Relations and Functions
5 Items
- 6.1
  Week 5 Day 1: Relations — Definition, Description, Domain and Range
  35 Minutes
- 6.2
  Week 5 Day 2: Functions — Domain, Co-domain and Range
  35 Minutes
- 6.3
  Week 5 Day 3: Types of Functions — Injective, Surjective, Bijective
  35 Minutes
- 6.4
  Week 5 Day 4: Rational and Modulus Functions — Graphs and Properties
  35 Minutes
- 6.5
  Week 5 Day 5: Week 5 Quiz — Relations & Functions
  25 Minutes
Week 6: Composite, Inverse, Logarithmic and Exponential Functions
5 Items
- 7.1
  Week 6 Day 1: Composite Functions and Their Domains
  35 Minutes
- 7.2
  Week 6 Day 2: Inverse Functions — Finding and Graphing
  35 Minutes
- 7.3
  Week 6 Day 3: Logarithmic Functions — Definition and Laws
  35 Minutes
- 7.4
  Week 6 Day 4: Exponential Functions — Graphs, Equations and Applications
  35 Minutes
- 7.5
  Week 6 Day 5: Week 6 Quiz — Composite, Inverse, Logs & Exponentials
  25 Minutes
Week 7: Matrices — Operations and Determinants
5 Items
- 8.1
  Week 7 Day 1: Types of Matrices — Null, Identity, Singular, Non-Singular
  35 Minutes
- 8.2
  Week 7 Day 2: Basic Matrix Operations — Addition, Subtraction, Multiplication
  35 Minutes
- 8.3
  Week 7 Day 3: Determinant of a Square Matrix (up to 3×3)
  35 Minutes
- 8.4
  Week 7 Day 4: Inverse of a 3×3 Matrix and Non-Singular Matrices
  35 Minutes
- 8.5
  Week 7 Day 5: Week 7 Quiz — Matrix Operations
  25 Minutes
Week 8: Matrices — Linear Equations and Transformations
5 Items
- 9.1
  Week 8 Day 1: Solving Simultaneous Equations Using Matrices (AX = B)
  35 Minutes
- 9.2
  Week 8 Day 2: Matrix Transformations — Enlargement, Rotation, Reflection
  35 Minutes
- 9.3
  Week 8 Day 3: Stretch, Shear and Composite Transformations
  35 Minutes
- 9.4
  Week 8 Day 4: Determinant as Area Scale Factor and Inverse Transformations
  35 Minutes
- 9.5
  Week 8 Day 5: Week 8 Quiz — Matrix Applications
  25 Minutes
End of Month 2 Test
1 Item
- 10.1
  End of Month 2 Test — Comprehensive Quiz (Weeks 5–8)
  60 Minutes
Week 9: Sequences
5 Items
- 11.1
  Week 9 Day 1: Definition of a Sequence and Sequence Notation
  35 Minutes
- 11.2
  Week 9 Day 2: Recurrence Relations and Successive Terms
  35 Minutes
- 11.3
  Week 9 Day 3: Behaviour of Sequences — Periodic, Oscillating, Converging, Diverging
  35 Minutes
- 11.4
  Week 9 Day 4: Limits of Sequences and Convergence Tests
  35 Minutes
- 11.5
  Week 9 Day 5: Week 9 Quiz — Sequences
  25 Minutes
Week 10: Series — Arithmetic and Geometric Progressions
5 Items
- 12.1
  Week 10 Day 1: Arithmetic Progressions — nth Term and Sum
  35 Minutes
- 12.2
  Week 10 Day 2: Geometric Progressions — nth Term and Sum
  35 Minutes
- 12.3
  Week 10 Day 3: Sum to Infinity of a Converging Geometric Series
  35 Minutes
- 12.4
  Week 10 Day 4: Applications of Series in Life — Finance, Growth and Decay
  35 Minutes
- 12.5
  Week 10 Day 5: Week 10 Quiz — Series
  25 Minutes
Week 11: Sigma Notation and Binomial Expansion
5 Items
- 13.1
  Week 11 Day 1: Sigma Notation — Use and Manipulation
  35 Minutes
- 13.2
  Week 11 Day 2: Binomial Theorem — Expansion of (a + b)^n
  35 Minutes
- 13.3
  Week 11 Day 3: Binomial Coefficients and Pascal’s Triangle
  35 Minutes
- 13.4
  Week 11 Day 4: Finding a Particular Term or Coefficient in a Binomial Expansion
  35 Minutes
- 13.5
  Week 11 Day 5: Week 11 Quiz — Sigma & Binomial
  25 Minutes
Week 12: Mathematical Induction and Groups
5 Items
- 14.1
  Week 12 Day 1: Mathematical Induction — Proof by Induction
  35 Minutes
- 14.2
  Week 12 Day 2: Conjecture and Proof — Divisibility and Series Identities
  35 Minutes
- 14.3
  Week 12 Day 3: Binary Operations — Closure, Commutativity, Associativity
  35 Minutes
- 14.4
  Week 12 Day 4: Groups — Identity, Inverse and Basic Properties
  35 Minutes
- 14.5
  Week 12 Day 5: Week 12 Quiz — Induction & Groups
  25 Minutes
End of Month 3 Test
1 Item
- 15.1
  End of Month 3 Test — Comprehensive Quiz (Weeks 9–12)
  60 Minutes
Week 13: Coordinate Geometry — Lines and Circles
5 Items
- 16.1
  Week 13 Day 1: Equations of Parallel and Perpendicular Lines
  35 Minutes
- 16.2
  Week 13 Day 2: Distance Between Two Points and Point-to-Line Distance
  35 Minutes
- 16.3
  Week 13 Day 3: Equation of a Circle — Standard and General Form
  35 Minutes
- 16.4
  Week 13 Day 4: Tangents and Normals to Circles
  35 Minutes
- 16.5
  Week 13 Day 5: Week 13 Quiz — Coordinate Geometry
  25 Minutes
Week 14: Parametric Equations and Curve Sketching
5 Items
- 17.1
  Week 14 Day 1: Parametric Equations — Definition and Conversion
  35 Minutes
- 17.2
  Week 14 Day 2: Sketching Curves Defined Parametrically
  35 Minutes
- 17.3
  Week 14 Day 3: Curve Sketching — y = f(x), y = 1/f(x), y = f(|x|)
  35 Minutes
- 17.4
  Week 14 Day 4: Reducing Equations to Appropriate Linear Form
  35 Minutes
- 17.5
  Week 14 Day 5: Week 14 Quiz — Parametric & Curve Sketching
  25 Minutes
Week 15: Vectors in Three Dimensions
5 Items
- 18.1
  Week 15 Day 1: Vector Notation and Vector Operations
  35 Minutes
- 18.2
  Week 15 Day 2: Types of Vectors — Position, Free, Displacement, Unit
  35 Minutes
- 18.3
  Week 15 Day 3: Addition, Subtraction and Scalar Multiplication of Vectors
  35 Minutes
- 18.4
  Week 15 Day 4: Scalar (Dot) Product and Vector Applications in Geometry
  35 Minutes
- 18.5
  Week 15 Day 5: Week 15 Quiz — Vectors
  25 Minutes
Week 16: Trigonometry — Radians, Arcs and Sectors
5 Items
- 19.1
  Week 16 Day 1: Radians and Degrees — Conversion and Use
  35 Minutes
- 19.2
  Week 16 Day 2: Arc Length and Area of a Sector
  35 Minutes
- 19.3
  Week 16 Day 3: Area of Segments and Mixed Problems
  35 Minutes
- 19.4
  Week 16 Day 4: Small Angle Approximations and Applications
  35 Minutes
- 19.5
  Week 16 Day 5: Week 16 Quiz — Trigonometry Basics
  25 Minutes
End of Month 4 Test
1 Item
- 20.1
  End of Month 4 Test — Comprehensive Quiz (Weeks 13–16)
  60 Minutes
Week 17: Trigonometric Functions, Identities and Equations
5 Items
- 21.1
  Week 17 Day 1: Trigonometric Functions — Graphs and Properties
  35 Minutes
- 21.2
  Week 17 Day 2: Trigonometric Identities — Proving and Using
  35 Minutes
- 21.3
  Week 17 Day 3: Compound Angle and Double Angle Formulae
  35 Minutes
- 21.4
  Week 17 Day 4: Solving Trigonometric Equations — General Solutions
  35 Minutes
- 21.5
  Week 17 Day 5: Week 17 Quiz — Trigonometric Functions & Identities
  25 Minutes
Week 18: Differentiation — First Principles and Rules
5 Items
- 22.1
  Week 18 Day 1: Differentiation from First Principles
  35 Minutes
- 22.2
  Week 18 Day 2: Derivative Notation and Rules — Power, Sum, Constant
  35 Minutes
- 22.3
  Week 18 Day 3: Derivatives of Polynomials, Rational, Exponential and Logarithmic Functions
  35 Minutes
- 22.4
  Week 18 Day 4: Derivatives of Trigonometric Functions — sin, cos, tan
  35 Minutes
- 22.5
  Week 18 Day 5: Week 18 Quiz — Differentiation Rules
  25 Minutes
Week 19: Differentiation — Products, Quotients and Chain Rule
5 Items
- 23.1
  Week 19 Day 1: Product Rule — Differentiation of uv and Applications
  35 Minutes
- 23.2
  Week 19 Day 2: Quotient Rule — Differentiation of u/v and Applications
  35 Minutes
- 23.3
  Week 19 Day 3: Chain Rule — Composite Functions
  35 Minutes
- 23.4
  Week 19 Day 4: Implicit and Parametric Differentiation
  35 Minutes
- 23.5
  Week 19 Day 5: Week 19 Quiz — Advanced Differentiation
  25 Minutes
Week 20: Differentiation — Applications
5 Items
- 24.1
  Week 20 Day 1: Gradients, Tangents and Normals
  35 Minutes
- 24.2
  Week 20 Day 2: Stationary Points — Maximum, Minimum, Point of Inflection
  35 Minutes
- 24.3
  Week 20 Day 3: Second Derivative Test and Optimisation Problems
  35 Minutes
- 24.4
  Week 20 Day 4: Rates of Change and Modelling Real-Life Situations
  35 Minutes
- 24.5
  Week 20 Day 5: Week 20 Quiz — Differentiation Applications
  25 Minutes
End of Month 5 Test
1 Item
- 25.1
  End of Month 5 Test — Comprehensive Quiz (Weeks 17–20)
  60 Minutes
Week 21: Integration — Indefinite Integrals
5 Items
- 26.1
  Week 21 Day 1: Integration as the Reverse of Differentiation
  35 Minutes
- 26.2
  Week 21 Day 2: Indefinite Integrals of Polynomial, Rational, Exponential and Trigonometric Functions
  35 Minutes
- 26.3
  Week 21 Day 3: Standard Integrals — Exponential, Sine and Cosine
  35 Minutes
- 26.4
  Week 21 Day 4: The Constant of Integration and Initial Conditions
  35 Minutes
- 26.5
  Week 21 Day 5: Week 21 Quiz — Indefinite Integrals
  25 Minutes
Week 22: Integration — Definite Integrals and Areas
5 Items
- 27.1
  Week 22 Day 1: Definite Integrals — Fundamental Theorem of Calculus
  35 Minutes
- 27.2
  Week 22 Day 2: Area Under a Curve Between Two Limits
  35 Minutes
- 27.3
  Week 22 Day 3: Area Between Two Curves
  35 Minutes
- 27.4
  Week 22 Day 4: Improper Integrals and Convergence
  35 Minutes
- 27.5
  Week 22 Day 5: Week 22 Quiz — Definite Integrals
  25 Minutes
Week 23: Integration by Substitution and by Parts
5 Items
- 28.1
  Week 23 Day 1: Integration by Recognition
  35 Minutes
- 28.2
  Week 23 Day 2: Integration by Substitution
  35 Minutes
- 28.3
  Week 23 Day 3: Integration by Parts — Formula and Examples
  35 Minutes
- 28.4
  Week 23 Day 4: Integration Using Partial Fractions
  35 Minutes
- 28.5
  Week 23 Day 5: Week 23 Quiz — Advanced Integration
  25 Minutes
Week 24: Volumes of Revolution and Applications of Integration
5 Items
- 29.1
  Week 24 Day 1: Volumes of Revolution about the x-axis
  35 Minutes
- 29.2
  Week 24 Day 2: Volumes of Revolution about the y-axis
  35 Minutes
- 29.3
  Week 24 Day 3: Modelling Life Phenomena with Integration
  35 Minutes
- 29.4
  Week 24 Day 4: Solving Differential Equations by Separation of Variables
  35 Minutes
- 29.5
  Week 24 Day 5: Week 24 Quiz — Integration Applications
  25 Minutes
End of Month 6 Test
1 Item
- 30.1
  End of Month 6 Test — Comprehensive Quiz (Weeks 21–24)
  60 Minutes
Week 25: Numerical Methods — Trapezium Rule
5 Items
- 31.1
  Week 25 Day 1: Numerical Integration — Need and Concept
  35 Minutes
- 31.2
  Week 25 Day 2: The Trapezium Rule — Formula and Derivation
  35 Minutes
- 31.3
  Week 25 Day 3: Setting Boundaries for the Area Under the Curve
  35 Minutes
- 31.4
  Week 25 Day 4: Solving Problems Involving the Trapezium Rule
  35 Minutes
- 31.5
  Week 25 Day 5: Week 25 Quiz — Trapezium Rule
  25 Minutes
Week 26: Complex Numbers — Introduction and Operations
5 Items
- 32.1
  Week 26 Day 1: Introduction to Complex Numbers — Real and Imaginary Parts
  35 Minutes
- 32.2
  Week 26 Day 2: Arithmetic Operations — Addition, Subtraction, Multiplication, Division
  35 Minutes
- 32.3
  Week 26 Day 3: Complex Conjugate and Modulus
  35 Minutes
- 32.4
  Week 26 Day 4: Solving Polynomial Equations with Non-Real Roots
  35 Minutes
- 32.5
  Week 26 Day 5: Week 26 Quiz — Complex Numbers
  25 Minutes
Week 27: Complex Numbers — Polar Form and Argand Diagrams
5 Items
- 33.1
  Week 27 Day 1: Argand Diagrams — Representing Complex Numbers
  35 Minutes
- 33.2
  Week 27 Day 2: Polar Form — Modulus and Argument
  35 Minutes
- 33.3
  Week 27 Day 3: Multiplication and Division in Polar Form
  35 Minutes
- 33.4
  Week 27 Day 4: De Moivre’s Theorem and Applications
  35 Minutes
- 33.5
  Week 27 Day 5: Week 27 Quiz — Polar Form & Argand Diagrams
  25 Minutes
Week 28: Final Review and Exam Preparation
5 Items
- 34.1
  Week 28 Day 1: Paper 1 Review — Algebra, Geometry and Vectors
  35 Minutes
- 34.2
  Week 28 Day 2: Paper 1 Review — Series, Trigonometry and Calculus
  35 Minutes
- 34.3
  Week 28 Day 3: Paper 2 Review — Matrices, Numerical Methods and Complex Numbers
  35 Minutes
- 34.4
  Week 28 Day 4: Exam Technique — Proof Writing, Time Management and Final Tips
  35 Minutes
- 34.5
  Week 28 Day 5: Week 28 Quiz — Full Syllabus Review
  25 Minutes
End of Month 7 Test — Final A-Level Pure Mathematics Exam
1 Item
- 35.1
  Final Exam — Comprehensive Test (Full Syllabus)
  90 Minutes

Instructor

Tawanda Nyasha Andrew Chizema

367 Students

45 Courses

I am a Mechanical Engineer. Self taught Software and IT Specialist in the field of Business.

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147 Lessons

Duration: 28 Weeks

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A level Pure Maths Zimsec

Curriculum

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