Additional Mathemactics - Cambridge
কোর্স ইন্সট্রাক্টর
Md. Aftabuddin Ahmed
B.Sc. in EEE (NSU)
O and A level from Oxford International School
কোর্সটি করে যা শিখবেন
- Consolidate and extend their mathematical skills, and use these in the context of more advanced techniques
- Further develop their knowledge of mathematical concepts and principles, and use this knowledge for problem solving
- Appreciate the interconnectedness of mathematical knowledge
- Acquire a suitable foundation in mathematics for further study in the subject or in mathematics-related subjects
- Devise mathematical arguments and use and present them precisely and logically
- Integrate information technology (IT) to enhance the mathematical experience
- Develop the confidence to apply their mathematical skills and knowledge in appropriate situations
- Develop creativity and perseverance in the approach to problem solving
- Derive enjoyment and satisfaction from engaging in mathematical pursuits, and gain an appreciation of the elegance and usefulness of mathematics
- Provide foundation for AS Level/Higher study.
ক্লাস রুটিন
ডাউনলোড রুটিন| Modules | Takeaways | Key Exercises |
|---|---|---|
| Module 1: Functions |
• Understand the terms: function, domain, range (image set), one-one function, inverse function and composition of functions |
Practice Exercise |
| Module 2: Quadratic functions | • Find the maximum or minimum value of the quadratic function f : x ↦ ax 2 + bx + c by any method • Use the maximum or minimum value of f(x) to sketch the graph or determine the range for a given domain • Know the conditions for f(x) = 0 to have: (i) two real roots, (ii) two equal roots, (iii) no real roots and the related conditions for a given line to (i) intersect a given curve, (ii) be a tangent to a given curve, (iii) not intersect a given curve • Solve quadratic equations for real roots and find the solution set for quadratic inequalities |
Practice Exercise |
| Module 3: Equations, inequalities and graphs | • Solve graphically or algebraically equations of the type |ax + b| = c (c ⩾ 0) and |ax + b| = |cx + d| • Solve graphically or algebraically inequalities of the type |ax + b| > c (c ⩾ 0), |ax + b| ⩽ c (c > 0) and |ax + b| ⩽ |cx + d| • Use substitution to form and solve a quadratic equation in order to solve a related equation • Sketch the graphs of cubic polynomials and their moduli, when given in factorized form y = k(x – a)(x – b)(x – c) • Solve cubic inequalities in the form k(x – a)(x – b)(x – c) ⩽ d graphically |
Practice Exercise |
| Module 4: Indices and surds | • Perform simple operations with indices and with surds, including rationalizing the denominator | Practice Exercise |
| Module 5: Factors of polynomials | • Know and use the remainder and factor theorems • Find factors of polynomials • Solve cubic equations |