MATH 152/155/158
Integral Calculus with Applications to Physical Sciences and Engineering
MATH 152/155/158 is a continuation of calculus concepts for students in science, engineering, and related programs. The course focuses on integral calculus, covering topics such as definite and indefinite integrals, techniques of integration, applications of integrals (e.g., areas, volumes, work), and an introduction to differential equations. Emphasis is placed on applying these concepts to problems in the physical sciences and engineering.
Video Samples
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Modes of tutoring available
Private
Video
Lecture-recordings
Video Lectures list
- Summation, Riemann sums, Integrals by area, Integral properties, Fundamental Theorem Antiderivatives
- Solving basic integrals, u-substitution, and trig integrals
- Trig sub and integration by parts
- Partial fractions, approximating integrals, and error formulas
- Volumes of revolution and differential equations
- Improper integrals and comparison tests
- Infinite Series and convergence, divergence and integral tests, and approximating infinite series
- Comparison, limit comparison, alternating series, and ratio tests for convergence
- Power and Taylor series, intervals of convergence, creating and using power series
- Continuous and discrete probabilities, mean, median, and variance
- Final exam prep: Demonstrating concepts and explaining how to navigate through questions
Our Teaching Philosophy
We guide you through integration techniques and applications with detailed explanations, ensuring clarity and confidence in problem-solving.
We emphasize understanding the “why” behind integration methods, helping you apply them flexibly to diverse problems rather than relying on memorization.
Through real-world examples and visual tools like graphs and sketches, we make integral calculus intuitive and engaging, bridging theory and application.
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