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LSU Calculus Syllabus Basic skills that students should acquire during this course 1. Limits and Continuity a. Evaluate limits from a graph b. Evaluate limits at points of continuity c. Evaluate limits of indeterminate forms using algebraic simplifications and l’Hôpital’s rule d. Know what continuity implies about a graph and behavior of a function e. Determine points of discontinuity for functions defined as formulas or graphs 2. Differentiation a. Know the various interpretations of the derivative (velocity, rate of change, slope of tangent line) b. Evaluate the derivatives of simple functions using a difference quotient c. Evaluate the derivatives of combinations of the basic elementary functions d. Take the derivative using implicit and logarithmic differentiation e. Find tangent lines and be able to use them as linear approximations f. Find critical values, local extrema and the intervals of concavity for differentiable functions g. Find absolute extrema of constrained functions h. Solve problems involving related rates i. Solve basic optimization problems j. Understand the Mean Value Theorem for Derivatives 3. Integration a. Understand anti-derivatives and know the basic anti-derivative formulas b. Have an understanding of the Riemann Integral as a limit of Riemann sums c. Be able to use both parts of the Fundamental Theorem d. Evaluate definite integrals using substitution e. Find the area between two curves and the volumes of solids of revolution f. Find arc lengths and areas of surfaces of revolution g. Understand the Mean Value Theorem for Integrals Sections of book covered and comments Chapter 1 is a pre-calculus review. Chapter 2
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This note was uploaded on 11/23/2011 for the course MATH 1551 taught by Professor Malisoff during the Fall '08 term at LSU.

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content - LSU Calculus Syllabus Basic skills that students...

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