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
Explore these sample tutoring videos to get a glimpse of our personalized learning approach.
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
Step-by-Step Guidance
In our Math tutoring, we guide students through each topic with a clear, step-by-step approach. This helps build a strong foundation, ensuring they can confidently solve problems.
Extensive Practice with Examples
We provide numerous exam-like examples to reinforce learning. By applying the steps to real problems, students develop the skills needed for success in Math exams.
Personalized Feedback
Each session includes personalized feedback on students’ work, ensuring they leave with a deeper understanding and greater confidence in their abilities.
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