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Math 111/112 Course Schedule
Algebra with Applications and Application of Calculus to Business and Economics
Math 111/112 is a two-quarter sequence in which students study algebra and calculus in the context of applications from business and economics. Students must earn a grade of 2.0 in Math 111 to move on to Math 112. Both courses use texts by G. S. Monk which use the discovery method. The texts contain little exposition. Instead, students learn by completing worksheets. The problem sets in the text require sophisticated mathematical thought and promote deep understanding of the material. Both courses emphasize using multiple methods (graphical, numerical, and algebraic) to solve problems.
The topics of Math 111 include:
- rates of change;
- slopes of diagonal, secant, and tangent lines;
- functional notation;
- revenue, cost, and profit functions (including total revenue, marginal revenue, average revenue, total cost, marginal cost, average cost, fixed cost, variable cost, and average variable cost);
- linear and quadratic functions;
- exponential growth;
- compound interest;
- logarithms.
The topics of Math 112 include:
- slopes of secant lines and the difference quotient;
- the derivative;
- derivative rules (including the product, quotient, and chain rules);
- multi-variable functions and partial derivatives;
- optimization;
- linear programming;
- areas under curves;
- integrals as areas;
- the Fundamental Theorem of Calculus.
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