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COLLEGE MATH I

(MATH1001)

Quantitative Skills & Reasoning

Semester Length: 14 weeks

COURSE DESCRIPTION

This course places quantitative skills and reasoning in the context of experiences that students will be likely to encounter. It emphasizes processing information in context from a variety of representations, understanding of both the information and the processing, and understanding which conclusions can be reasonably determined. Topics covered include sets and set operations, logic, basic probability, data analysis, linear models, quadratic models, and exponential and

logarithmic models.

COURSE OBJECTIVES

Upon successful completion of this course, students will be able to:

1. Solve problems involving directed numbers using the rules of addition, subtraction, multiplication and division.

2. Solve problems involving fractions using the rules of addition, subtraction, multiplication and division.

3. Make algebraic expressions and solve simple equations.

4. Use the metric system to determine length and mass.

5. Determine areas and volumes related to plane figures and solids.

COLLEGE MATH II

(ENG1102)

Linear Algebra

Semester Length: 14 weeks

COURSE DESCRIPTION

Orthogonal and unitary matrices and transformations. Orthogonal projections, Gram-Schmidt procedure, best approximations, least-squares. Inner products, angles and orthogonality, orthogonal digitalization, singular value decomposition, applications.

COURSE OBJECTIVES

As a major in mathematics or statistics, a student can expect to use and build on skills such as:

•  Thinking critically

•  Formulating and solving problems

•  Communicating solutions clearly, both orally and writing

These skills have been gained in previous courses in mathematics, statistics and other areas. As a breadth of knowledge of the subject grows, students gain an increased understanding and appreciation of the fact that mathematics is truly a universal language whose creation and applications cut across all boundaries of race, class, culture and time.

COURSE LEARNING OUTCOMES

Upon successful completion of this course students will be able to:

•  Solve systems of linear equations;

•  Analyze vectors in R n geometrically and algebraically;

•  Recognize the concepts of the terms span, linear independence, basis and dimension,

and apply these concepts to various vector spaces and subspaces.

•  Use matrix algebra and the related matrices to linear transformations,

•  Compute and use determinants;

•  Compute and use eigenvectors and eigenvalues;

•  Determine and use orthogonality, and

•  Use technological tools such as computer algebra systems or graphing calculators

for visualization and calculation of linear algebra concepts.

STUDY MATERIAL

Study material is included.