This is a theoretical course intended primarily for students who expect to pursue further studies in mathematics and its applications.
Topics include inequalities and absolute value; compound angle formulas for trigonometric functions; limits and continuity
using rigorous definitions; the derivative and derivative formulas (including derivatives of trigonometric, exponential and
logarithmic functions); Fermat's theorem; Rolle's theorem; the meanvalue theorem; applications of the derivative; Riemann
sums; the definite integral; the fundamental theorem of calculus; applications of the definite integral; the mean value theorem
for integrals.
