🎓 1st Year University Mathematics

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About Course

First-year university students often face a steep learning curve. Our tutoring covers calculus, linear algebra, set theory, and mathematical reasoning. We help students bridge the gap from high school, build confidence with proof-based logic, and understand the foundational principles required in science, engineering, or business courses.

Course Content

Functions and graphs
By the end of this module, students will be able to: Apply algebraic techniques to solve mathematical problems. Understand and work with a variety of functions and their graphs. Solve linear and nonlinear equations and inequalities. Use trigonometric relationships in problem-solving. Develop confidence and competence in mathematical reasoning.

Basic trigonometry

Introduction to analytical geometry
The straight line The parabola The hyperbola The circle The ellipse The central hyperbola

Systems of Equations and Inequalities

Binomial Theorem

Polar and Rectangular Form of Complex Numbers; De Moivre’s Theorem

Geometry and measurements of areas and volumes

MAT1501

Systems of equations and determinants
Properties of determinants Value of a determinant Cramer’s rule

Partial fractions
Proper fractions Improper fractions

Complex numbers
Imaginary and complex numbers Operations with complex numbers Polar and exponential form Operations in polar and exponential form

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