MTH1103 College Math

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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.

REFERENCE MATERIALS
for
Full-CLC Students

A CLC award signifies that the student has attained the knowledge, (through either prior education or experience), equal to or greater than the student would have learned in a traditional college course.”

 “Based upon your CLC award, physical classroom attendance is not required; however, you will be required to successfully pass a final exam for each course.”

Based upon your HESEAP Application, you have received full-CLC for this course; therefore, this is a test-out course which does not include traditional education on the subject.

USILACS wants to help you succeed. If you feel you need a little knowledge refresher or want to expand your knowledge on this subject, we recommend that you consider reviewing some of the vast online education resources and search topics below.

Thousands of FREE Online College Courses:

Search Topics: Publications/Videos/Papers

(The majority of the exam questions for this course are based upon information contained in the below search topics)

  • (2013) Learn how to calculate the area of a square and rectangle. Math lesson for kids https://www.youtube.com/watch?v=1dqAOKdJmRI

Please note: USILACS is not the source of these links. Therefore we do not have control over the accessibility of the links. You may find that some links are no longer active. We therefore encourage you to copy and paste the title into Google or YouTube to find an alternative source. You are also welcome to email our academic team at academics@usilacs.org for assistance or to inform them of an inactive link so we can replace it with a new one.

Sometimes the links may invite you to download reference material into a PDF. Although we have been diligent in finding safe sources of information, we encourage you to be diligent in ensuring a download is safe on your device.

Although we are providing comprehensive study material, if you feel you require more, please copy and paste the topics and titles into Google and YouTube. 

 

Tips for success

Remember, these exams are all open textbook. Meaning, you can keep your reference material open in other tabs to refer back to during your exam.

Some of the reference materials are large, extensive books with hundreds of pages. If you have a question on your exam that you want to find the answer to within the book, here’s a quick way of doing so:

Choose a keyword or phrase from the exam question. Go to the reference material. Press ‘Ctrl’ + ‘F’ on your keyboard. This will bring up a search bar. Type your keyword or phrase into the search bar and click search. This will show you all the locations that they appear in the reference material.

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