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Master the techniques of integration, series, and advanced calculus applications.

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Master integration techniques including substitution, by parts, and partial fractions.

Apply integrals to real-world problems in physics, engineering, and probability.

Understand sequences, series, and convergence for advanced mathematical reasoning.

Course Overview

Course Overview: Calculus II

Calculus II expands on the principles of Calculus I, focusing on integral calculus, sequences, series, and advanced applications of differentiation and integration. Students explore definite and indefinite integrals, techniques such as substitution and integration by parts, and applications in areas like physics, engineering, and probability. The course also introduces convergence of sequences and infinite series, power series, and polar coordinates. By the end of Calculus II, learners gain a deeper understanding of mathematical analysis and problem-solving strategies essential for higher-level mathematics and applied sciences.

Master integration techniques including substitution, by parts, and partial fractions.

Apply integrals to real-world problems in physics, engineering, and probability.

Understand sequences, series, and convergence for advanced mathematical reasoning.

Explore power series, Taylor series, and applications in modelling.

Strengthen analytical and problem-solving skills for higher-level mathematics.

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