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Pre-Calculus

MTH1100
4 hours English

Pre-Calculus

Pre-Calculus
1 Fundamentals: Real Numbers, Exponents and Radicals, Algebraic Expressions, Rational Expressions, Equations, Inequalities, Coordinate Geometry, and Graphing
2 Functions: Definition, Graphs of functions, Getting Information from the Graph of a Function, Average Rate of Change of a Function, Transformations of Functions, Operation on functions, and Combining Functions
3 Polynomial and Rational Functions: Quadratic Functions, Polynomial Functions and Their Graphs, Dividing Polynomials, Real Zeros of Polynomials, Rational Functions and their properties
4 Complex Numbers: Definition of Complex Numbers, Arithmetic Operations on Complex Numbers, Square Roots of Negative Numbers, Complex Solutions of Quadratic Equations, and The Fundamental Theorem of Algebra
5 Others: Preprimaries, Quizzes, Activities, Exam …
1.1 Mapped to: K1

Explain basic properties of sets of numbers (order property, intervals, absolute value, exponents, radicals) and perform algebraic operations by hand dealing accurately with signs and simplifications.

Teaching Strategy Lectures
Assessment Methods Exams and Quizzes
1.2 Mapped to: K2

Show familiarity with the basic properties of functions of a single variable

Teaching Strategy Lectures
Assessment Methods Exams and Quizzes
2.1 Mapped to: S1

perform and simplify algebraic operations on polynomials and rational expressions.

Teaching Strategy Lectures and individual or group work
Assessment Methods Exams and Quizzes
2.2 Mapped to: S2

Find sets of solutions for equations and inequalities in one variable.

Teaching Strategy Lectures and individual or group work
Assessment Methods Exams and Quizzes
2.3 Mapped to: S5

perform algebraic operations on functions in one variable and discuss the properties of transcendental functions.

Teaching Strategy Lectures and individual or group work
Assessment Methods Exams and Quizzes
3.1 Mapped to: V1

Show the ability to work independently and within groups.

Teaching Strategy Lectures and individual or group work
Assessment Methods Homework and assignments
3.2 Mapped to: V2

Demonstrating communication skills and time management.

Teaching Strategy Lectures and individual or group work
Assessment Methods Homework and assignments