MATH 1712 Survey of Calculus:
Week by week description
Week One Resources:
Real Numbers, Absolute Value, Inequalities.
Week Two Resources:
Cartesian Plane, Lines; Functions and Graphs of Functions.
Week Three Resources:
Limits, Continuity, Tangent Lines, and Derivatives.
Week Four Resources:
Derivative Rules, Application of Derivatives to Economics.
Week Five Resources:
Higher-Order Derivatives, Differentials, and Related Rates.
Week Six Resources:
The First- and Second-Derivative Tests; Curve Sketching.
Week Seven Resources:
Optimization; Exponential Functions.
Week Eight Resources:
Logarithmic Functions; Compound Interest; Exponential Growth and Decay.
Week Nine Resources:
Integration and Definite Integration; Fundamental Theorem of Calculus.
Week Ten Resources:
Area Between two Curves; Application of Integrals to Economics.
Week Eleven Resources:
Techniques in Integration; Improper Integrals.
Week Twelve Resources:
Functions of Several Variables; Partial Derivatives.
Week Thirteen Resources:
Local Extrema; Lagrange Multipliers.
Week Fourteen Resources:
Total Differentials; Double Integrals and Their Applications.
Week Fifteen Resources:
Differential Equations.
Sample Tests
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Last Modified: .
School of Mathematics
,
Georgia Institute of Technology
.