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Engineering Mathematics and Applied Science 10 Sections42 Lessons8 Weeks
Curriculum
- 10 Sections
- 42 Lessons
- 8 Weeks
Expand all sectionsCollapse all sections
- Week 1: Algebraic Techniques for Engineering5 Items
- 1.1Week 1 Day 1: Indices, Logarithms and Exponential Equations40 Minutes
- 1.2Week 1 Day 2: Partial Fractions and Algebraic Manipulation40 Minutes
- 1.3Week 1 Day 3: Determinants, Matrices and Simultaneous Equations40 Minutes
- 1.4Week 1 Day 4: Binomial Theorem and Engineering Approximations40 Minutes
- 1.5Week 1 Day 5: Week 1 Quiz — Algebraic Techniques25 Minutes
- Week 2: Trigonometry and Vector Analysis5 Items
- 2.1Week 2 Day 1: Trigonometric Identities and Equations40 Minutes
- 2.2Week 2 Day 2: Sine, Cosine Rules and Triangle Solutions40 Minutes
- 2.3Week 2 Day 3: Two-Dimensional Vectors — Components and Resultants40 Minutes
- 2.4Week 2 Day 4: Vector Applications in Force and Motion Analysis40 Minutes
- 2.5Week 2 Day 5: Week 2 Quiz — Trigonometry and Vectors25 Minutes
- Week 3: Differential Calculus and Engineering Applications5 Items
- 3.1Week 3 Day 1: Limits, Continuity and Differentiation from First Principles40 Minutes
- 3.2Week 3 Day 2: Product, Quotient and Chain Rules40 Minutes
- 3.3Week 3 Day 3: Stationary Points, Maxima, Minima and Optimisation40 Minutes
- 3.4Week 3 Day 4: Rates of Change and Engineering Modelling40 Minutes
- 3.5Week 3 Day 5: Week 3 Quiz — Differentiation25 Minutes
- Week 4: Integral Calculus and Area/Volume Calculations5 Items
- 4.1Week 4 Day 1: Indefinite Integrals and Standard Forms40 Minutes
- 4.2Week 4 Day 2: Definite Integrals and the Fundamental Theorem40 Minutes
- 4.3Week 4 Day 3: Area Under Curves and Between Curves40 Minutes
- 4.4Week 4 Day 4: Volumes of Revolution and Engineering Applications40 Minutes
- 4.5Week 4 Day 5: Week 4 Quiz — Integration25 Minutes
- End of Month 1 Test1 Item
- Week 5: Complex Numbers and Their Engineering Uses5 Items
- 6.1Week 5 Day 1: Complex Numbers — Arithmetic and Conjugates40 Minutes
- 6.2Week 5 Day 2: Argand Diagrams, Modulus and Argument40 Minutes
- 6.3Week 5 Day 3: Polar Form and De Moivre’s Theorem40 Minutes
- 6.4Week 5 Day 4: Complex Numbers in AC Circuit and Control Analysis40 Minutes
- 6.5Week 5 Day 5: Week 5 Quiz — Complex Numbers25 Minutes
- Week 6: Applied Physics — Mechanics and Energy5 Items
- 7.1Week 6 Day 1: Newton’s Laws and Force Systems40 Minutes
- 7.2Week 6 Day 2: Work, Energy, Power and Efficiency40 Minutes
- 7.3Week 6 Day 3: Momentum, Impulse and Collisions40 Minutes
- 7.4Week 6 Day 4: Circular Motion and Rotational Fundamentals40 Minutes
- 7.5Week 6 Day 5: Week 6 Quiz — Applied Mechanics25 Minutes
- Week 7: Applied Physics — Fluids, Heat and Materials5 Items
- 8.1Week 7 Day 1: Pressure, Buoyancy and Fluid Statics40 Minutes
- 8.2Week 7 Day 2: Heat, Temperature and Thermal Expansion40 Minutes
- 8.3Week 7 Day 3: Specific Heat, Latent Heat and Energy Transfer40 Minutes
- 8.4Week 7 Day 4: Physical Properties of Engineering Materials40 Minutes
- 8.5Week 7 Day 5: Week 7 Quiz — Fluids, Heat and Materials25 Minutes
- Week 8: Numerical Approximation and Engineering Problem Solving5 Items
- 9.1Week 8 Day 1: Trapezium Rule and Numerical Integration40 Minutes
- 9.2Week 8 Day 2: Root-Finding and Iterative Methods40 Minutes
- 9.3Week 8 Day 3: Graphs, Data Representation and Engineering Reporting40 Minutes
- 9.4Week 8 Day 4: Integrated Engineering Mathematics Workshop40 Minutes
- 9.5Week 8 Day 5: Week 8 Quiz — Numerical Methods and Review25 Minutes
- End of Month 2 Test1 Item
