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Berkeley Global
A continuation of the study of differential and integral calculus from MATH X11 - Calculus 1. This course covers further techniques and applications of integration, infinite sequences and series, and an introduction to differential equations. Key topics will include first-order ordinary differential equations, exact equations, second-order ordinary differential equations, oscillation and damping, and series solutions of ordinary differential equations. Emphasis will be placed on developing the ability to think critically and analytically in the realm of mathematics.
Prerequisites:
Calculus I MATH X11 or equivalent
Course Outline
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This course is designed to help you achieve the following objectives:
- An understanding of the basic methods of integration and the use of tables of integrals.
- A better understanding of the limit concept through the use of sequences.
- An ability to conceptualize the relationship between partial sums and infinite series.
- An understanding of six basic tests for series convergence.
- Knowledge of error estimates when using an approximation for the sum of an infinite series.
- An understanding of the representation of an analytic function as a power series.
- An understanding that functions are solutions to differential equations.
- Knowledge of the use of differential equations in applications.
- Knowledge of methods of solving first- and second-order equations.
- An ability to see the relationship between infinite series and differential equations.
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Spring 2025 enrollment opens on October 21!