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Calculus II
Master the techniques of integration, series, and advanced calculus applications.
Topics
Exam‑style questions with instant feedback.
Section 1: Review of Integral Calculus
Section 2: Core Integration Techniques
Section 3: Advanced Integration Topics
Section 4: Applications of Integration
Section 5: Sequences and Infinite Series
Section 6: Power Series and Taylor Series
Section 7: Parametric Equations and Polar Coordinates
What you’ll achieve
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.
Course overview
Everything you need to excel in 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.
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