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C34534-measurement CHON2342-measurement CHON234255-measurement34 DE4103-Technical-literacy DE4103-Technical-writing DMD4001-Visual-Media-Design MC3001-Foundations-of-Mathematics-for-Engineering cons6545-measures dfgsdfg-measurement hnbn-bvnvbn

MC3001-Foundations-of-Mathematics-for-Engineering - Course-map

# Course Map

**Course Learning Outcomes:**

- LO1: Solve simple arithmetic and algebraic problems set in an engineering context.
- LO2: Solve simple geometric problems set in an engineering context.
- LO3: Solve simple trigonometric problems set in an engineering context.
- LO4: Use a spreadsheet to carry out basic statistical calculations set in an engineering context.

# Topic 1: Foundations of Arithmetic and Algebra

This topic introduces students to the foundational concepts of arithmetic and algebra, providing them with the necessary skills to solve engineering problems.

- Apply the order of operations to solve arithmetic problems in an engineering context (LO1).
- Simplify algebraic expressions by combining like terms and evaluating numerical expressions (LO1).
- Rearrange equations to isolate variables and solve for unknowns (LO1).
- Substitute values into formulas to solve engineering-related word problems (LO1).

# Topic 2: Introduction to Geometry and Graphing

In this topic, students will develop an understanding of geometric principles and learn how to apply them to engineering problems. They will also learn how to graph linear equations and use them to solve engineering-related problems.

- Identify and apply geometric principles to solve engineering-related problems (LO2).
- Construct and interpret graphs of linear equations in an engineering context (LO2).
- Calculate and apply the concept of gradient in engineering-related scenarios (LO2).
- Solve engineering-related problems involving basic circle geometry, area, and circumference (LO2).

# Topic 3: Trigonometry for Engineering

This topic focuses on trigonometric concepts and their applications in engineering. Students will learn how to use trigonometric ratios and rules to solve engineering-related problems.

- Apply trigonometric ratios to find lengths and angles in triangles in all four quadrants (LO3).
- Solve engineering-related problems using the sine and cosine rules (LO3).
- Determine the values of trigonometric ratios for specific angles in an engineering context (LO3).
- Apply trigonometric concepts to solve engineering-related problems involving triangles (LO2, LO3).

# Topic 4: Spreadsheet Skills for Engineers

In this topic, students will develop the necessary skills to use spreadsheets for basic statistical calculations in an engineering context. They will learn how to enter data correctly, perform calculations, and present statistical findings.

- Enter and format engineering data accurately in spreadsheets (LO4).
- Calculate mean, median, and mode using spreadsheet tools like MS Excel (LO4).
- Analyze engineering data using basic statistical calculations in spreadsheets (LO4).
- Present statistical findings from engineering data in a clear format using spreadsheets (LO4).

# Topic 5: Advanced Algebraic Techniques

This topic builds upon the foundation of arithmetic and algebra, focusing on advanced techniques that are commonly used in engineering. Students will learn how to manipulate algebraic expressions and equations to solve more complex problems.

- Factorize and expand algebraic expressions using advanced techniques (LO1).
- Solve engineering-related problems involving algebraic fractions (LO1).
- Apply advanced algebraic techniques to rearrange equations and solve for unknowns (LO1).
- Use algebraic techniques to evaluate and simplify engineering-related word problems (LO1).

# Topic 6: Applications of Mathematics in Engineering

This final topic integrates all the previously covered skills and knowledge, emphasizing their practical applications in various engineering scenarios. Students will solve real-world engineering problems that require the utilization of arithmetic, algebra, geometry, and trigonometry concepts.

- Analyze and solve engineering problems that involve the application of arithmetic, algebra, geometry, and trigonometry (LO1, LO2, LO3).
- Apply spreadsheet skills to perform statistical calculations and analyze engineering data (LO4).
- Present solutions to engineering problems in a clear and concise manner using appropriate mathematical representations (LO1, LO2, LO3, LO4).
- Evaluate the accuracy and validity of mathematical solutions in an engineering context (LO1, LO2, LO3, LO4).

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MC3001-Foundations-of-Mathematics-for-Engineering - Course-map

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