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What you will learn

• Represent functions of one, two and three variables using level curves/surfaces and contour maps or graphs.
• Approximate functions and their values using (Taylor) polynomial approximations.
• Solve a wide variety of separable and linear first order differential equations and initial value problems.
• Evaluate a wide variety of definite single, double and triple integrals over a wide variety of domains.
• Solve a wide variety of linear second order differential equations including those with constant coefficients using the method of undetermined coefficients and solve the corresponding initial value problems.
• Find critical points of functions of several variables and find extreme values of functions of several variables in a closed domain.
• Compute and interpret first and higher order total, partial and directional derivatives of general functions of one or several variables.