MTH1103 College Math

COURSE DESCRIPTION

The College Math course is designed to provide a comprehensive foundation in the essential mathematical concepts that are fundamental for further studies in various fields such as science, engineering, economics, and technology.

This course covers a wide range of topics, from basic algebra and functions to advanced calculus, ensuring that students gain a solid understanding of mathematical principles and their applications. By the end of the course, students will be well-equipped to tackle complex problems, analyze data, and apply mathematical reasoning in real-world scenarios.

Key Points

1. Algebraic Expressions and Equations: This section introduces students to the manipulation of algebraic expressions and the methods for solving linear and quadratic equations. It covers the properties of equality, factoring techniques, and the use of algebraic methods to solve real-world problems.
2. Functions and Graphs: This section explores the concept of functions, including their notation, types, and graphical representations. Students will study linear, quadratic, exponential, and logarithmic functions, as well as learn how to interpret and analyze graphs.
3. Polynomials and Factoring: Students will delve into the structure of polynomials, learning how to perform operations on them and factor them effectively. This section covers the process of simplifying polynomials, solving polynomial equations, and applying these techniques to solve practical problems.
4. Calculus I – Limits and Continuity: This section introduces students to the foundational concepts of calculus, focusing on limits and continuity. Students will learn how to evaluate limits, understand the concept of continuity, and explore the behavior of functions as they approach specific points.
5. Calculus II – Differentiation: This section covers the principles of differentiation, including the rules for finding derivatives and their applications. Students will learn how to calculate the derivative of a function, interpret its meaning, and apply differentiation to solve problems involving rates of change and optimization.
6. Calculus III – Integration: In this section, students will explore the concept of integration, the reverse process of differentiation. The course covers basic integration techniques, definite and indefinite integrals, and their applications in calculating areas, volumes, and accumulated quantities.

Core Learning Outcomes

• Master Algebraic Operations: Solve linear and quadratic equations using algebraic techniques, preparing for higher-level mathematics applications.
• Analyze Functions and Graphs: Interpret and analyze various types of functions and their graphical representations for real-world applications.
• Apply Polynomial and Factoring Techniques: Simplify and solve polynomial equations, a foundational skill for advanced algebraic topics.
• Understand Limits and Continuity: Grasp the concepts of limits and continuity to analyze function behavior, essential for advanced calculus.
• Perform Differentiation: Calculate and interpret derivatives, applying them to real-world scenarios involving rates of change and optimization.
• Utilize Integration Techniques: Apply integration to calculate areas, volumes, and accumulated quantities, supporting applications in science, engineering, and economics.