Mathematics - Cambridge
কোর্স ইন্সট্রাক্টর
Md. Aftabuddin Ahmed
B.Sc. in EEE (NSU)
O and A level from Oxford International School
কোর্সটি করে যা শিখবেন
- Develop their mathematical knowledge and skills in a way which encourages confidence and provides satisfaction and enjoyment
- Develop an understanding of mathematical principles and an appreciation of mathematics as a logical and coherent subject
- Acquire a range of mathematical skills, particularly those which will enable them to use applications of mathematics in the context of everyday situations and of other subjects they may be studying
- Develop the ability to analyse problems logically
- Recognise when and how a situation may be represented mathematically, identify and interpret relevant factors and select an appropriate mathematical method to solve the problem
- Use mathematics as a means of communication with emphasis on the use of clear expression
- Acquire the mathematical background necessary for further study in mathematics or related subjects.
ক্লাস রুটিন
ডাউনলোড রুটিন| Modules | Lessons | Key Exercises |
|---|---|---|
| Module 1: Quadratics |
• Carry out the process of completing the square for a quadratic polynomial ax 2 + bx + c and use a completed square form |
Practice Exercise |
| Module 2: Functions | • Understand the terms function, domain, range, one-one function, inverse function and composition of functions • Determine whether or not a given function is one-one, and find the inverse of a one-one function in simple cases • Illustrate in graphical terms the relation between a one-one function and its inverse • Understand and use the transformations of the graph of y = f(x) given by y = f(x) + a, y = f(x + a), y = af(x), y = f(ax) and simple combinations of these. |
Practice Exercise |
| Module 3: Coordinate geometry | • Find the equation of a straight line given sufficient information • Interpret and use any of the forms y = mx + c, y – y1 = m(x – x1), ax + by + c = 0 in solving problems • Understand that the equation (x – a) 2 + (y – b) 2 = r 2 represents the circle with centre (a, b) and radius r • Use algebraic methods to solve problems involving lines and circles |
Practice Exercise |
| Module 4: Circular measure | • Understand the definition of a radian, and use the relationship between radians and degrees• Use the formulae s r A r 2 1 and 2 = = i i in solving problems concerning the arc length and sector area of a circle. | Practice Exercise |
| Module 5: Trigonometry | • Sketch and use graphs of the sine, cosine and tangent functions (for angles of any size, and using either degrees or radians) • Use the exact values of the sine, cosine and tangent of 30°, 45°, 60°, and related angles • Use the notations sin–1 x, cos–1 x, tan–1 x to denote the principal values of the inverse trigonometric relations |
Practice Exercise |