Location

Community Services & Continuing Education - Alexandria

Objectives

• • Develop a strong foundation in core mathematical concepts, including algebra, calculus, linear algebra, probability, and statistics, necessary for advanced studies and applications.• Master the techniques for solving equations, performing transformations, and analyzing data.• Apply mathematical reasoning to solve real-world problems and interpret quantitative information.• Enhance analytical and problem-solving skills through practical exercises and mathematical modeling.

Outcomes

Mathematical Foundations: Understand and apply fundamental concepts across algebra, calculus, linear algebra, probability, and statistics.Problem-Solving Skills: Solve linear and non-linear equations, optimize functions, and apply transformations effectively in mathematical and real-world contexts.Data Analysis and Interpretation: Use statistical methods to summarize and interpret data, making inferences and predictions based on statistical tests and probability distributions.Calculus Applications: Compute derivatives and integrals and use them to model and solve optimization and area-based problems.Probability and Decision-Making: Analyze and calculate probabilities, apply Bayes’ theorem, and use probabilistic reasoning in data analysis and decision-making. Mathematical Communication: Effectively interpret and communicate mathematical results, both graphically and in written form, providing clear explanations of complex quantitative information.

Course Contents

• Algebra and Linear Equations: Introduction to algebraic expressions, linear equations, inequalities, and graphing. Covers foundational algebraic principles that are essential for understanding more advanced mathematical concepts.• Linear Algebra: Focuses on vector and matrix operations, linear transformations, and vector spaces. Includes applications of matrices in solving linear equations and understanding geometric transformations.• Calculus I - Derivatives and Optimization: Introduces the concept of limits, derivatives, and their applications, with a focus on optimization problems. Provides the foundational tools for understanding change and rates of change.• Calculus II - Integrals and Area under Curves: Covers the principles of integration and its applications, including finding the area under curves and volumes. Builds on differentiation concepts to provide a comprehensive understanding of continuous change.• Probability and Bayes’ Theorem: Explores the basics of probabili