What You Will Learn in MAT2200: Calculus

In MAT2200, students will gain an in-depth understanding of how calculus can be applied to solve practical problems related to rates of change, optimization, and areas under curves. The course is designed to develop both theoretical and practical mathematical skills that can be applied in advanced studies or careers that require quantitative analysis.

Key Topics Covered in MAT2200: Calculus

The course includes a variety of topics fundamental to understanding and applying calculus:

Limits and Continuity: Learn the concept of limits, the foundation of calculus, and how to determine whether a function is continuous or has a discontinuity.
Derivatives: Study the derivative as the rate of change of a function and learn how to compute derivatives using rules of differentiation (power rule, product rule, quotient rule, and chain rule). Explore applications such as related rates, motion problems, and optimization.
Applications of Derivatives: Understand how derivatives are used to solve problems involving maxima and minima (optimization), curve sketching, and related rates problems.
Integrals: Learn the fundamental theorem of calculus and how to compute integrals, including definite and indefinite integrals. Study techniques such as substitution and integration by parts.
Applications of Integrals: Explore the use of integrals to compute areas under curves, volumes of solids of revolution, and the accumulation of quantities over time.
Fundamental Theorem of Calculus: Study how the fundamental theorem of calculus connects differentiation and integration, showing that these two operations are inverses of each other.
Series and Sequences: Introduction to infinite series, including geometric and Taylor series, and their applications in approximation.
Differential Equations: A brief overview of first-order differential equations, their solutions, and real-world applications in modeling.

Learning Objectives of MAT2200: Calculus

By the end of this course, students will:

Understand Key Calculus Concepts: Gain a solid understanding of limits, derivatives, integrals, and how they apply to real-world problems.
Apply Derivatives: Learn how to compute and interpret derivatives, and apply them to optimization problems, motion analysis, and related rates.
Solve Integration Problems: Develop the ability to calculate integrals and apply them to problems involving areas, volumes, and accumulation.
Use Calculus in Problem Solving: Apply calculus techniques to solve problems in fields such as physics, economics, and engineering, and interpret the results.
Master Techniques of Calculus: Learn advanced techniques such as substitution and integration by parts to solve complex integration problems.
Model Real-World Phenomena: Understand how calculus is used to model and solve real-world problems, particularly in areas involving change and accumulation.

Who Should Take MAT2200: Calculus?

MAT2200 is ideal for students pursuing a Bachelor of Science in Information Technology, engineering, economics, or any field that requires a solid foundation in mathematics. The course is especially beneficial for:

Engineering Majors: Students in electrical, mechanical, or civil engineering who need calculus to understand rates of change, motion, and system dynamics.
Economics and Business Students: Learners who require calculus to analyze economic models, cost optimization, and financial analysis.
Physical Sciences Students: Students in physics or chemistry who will use calculus to solve problems in areas such as motion, thermodynamics, and chemical reactions.
Aspiring Data Scientists and Analysts: Students who want to develop strong mathematical skills for quantitative analysis, modeling, and data-driven decision making.
Anyone Interested in Advanced Mathematics: Individuals who are interested in developing a deeper understanding of mathematical concepts for further studies or career advancement in technical fields.