Description
The course focuses on understanding algebraic concepts and applying them to practical problems rather than only performing symbolic manipulation.
Key Topics
Algebraic expressions and simplification
Indices, surds, and logarithms
Linear and simultaneous equations
Quadratic equations and inequalities
Polynomials and factorization
Partial fractions
Functions and their graphs
Sequences and series
Matrices and determinants
Systems of linear equations
Complex numbers
Algebraic modelling and applications
Introduction to numerical methods and approximation
Course Objectives
By the end of the course, a student should be able to:
1. Manipulate and simplify algebraic expressions accurately.
2. Solve different types of algebraic equations and inequalities.
3. Use matrices and determinants to solve systems of equations.
4. Apply algebraic methods to engineering and scientific problems.
5. Construct and interpret mathematical models using algebra.
6. Use algebraic techniques to analyze real-world problems.
7. Develop logical and analytical problem-solving skills.
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