The schedule below lists the planned activities for this course. See the course syllabus for additional course information. Typos are possible. You are responsible for tracking university closures, final exam schedules, etc. through the NC State University Academic Calendar.
Due dates for assignments should be confirmed through Moodle. Always check the assignments themselves for specific dates. These due dates are tentative based on the start of the semester; dates may change on Moodle without changing on this schedule.
Overview of class; Supplement 10.1; difference equations; simple vs compound interest: Overview and difference equations; interest
10.3 Graphing difference equations; types of graphs; examples; 10.4 word problems: Graphing difference equations and word problems
WebAssign: Difference Equations #6; Textbook 1.1 lines; slopes, graphs, and equations; 1.2 tangent lines
1.4 calculating limits; limit definition of the derivative; limits to infinity; 1.3–1.4 limits: Lines, tangent lines, and introductory limits
1.5 differentiability and continuity; 1.6 rules for differentiation: Limits, derivative definition, and continuity; 1.7 more about derivatives; 1.8 derivatives as a rate of change; average rate of change
2.1 topics; 2.2 sketching; 2.2 & 2.4 derivative rules continued; second derivative rule; 2.2–2.4 continued: Curve sketching with the first and second derivatives
Locate relative extrema and critical points; steps for graphing functions; more curve sketching examples; review topics for Test 1: (Lectures 1-18); Test 1; 2.5 optimization; more optimization: Curve sketching and optimization
3.1 product and quotient rules; 3.1 continued; 3.2 chain rule; additional differentiation examples: Product, quotient, and chain rules
4.1 exponential functions; 4.2 derivatives of exponentials; 4.3 exponential functions; 4.4–4.6 logarithms; derivatives of logarithms (practice): Exponential and logarithmic functions
Using product/quotient rules with exp/log; finding relative maxima/minima and critical values; 5.1 differential equation
6.1 antidifferentiation and indefinite integrals; 6.1 formulas; Test 2 review, parts I–II: Applications with exp/log and Test 2 review
6.2 definite integrals: Antidifferentiation and definite integrals; 6.3 area under a curve; Riemann sums; definite integrals of non-positive functions; review of graphing quadratics; 6.4 area between curves; Test 2
6.4 continued: Area, Riemann sums, and area between curves; 6.5 applications of the definite integral; average value of a function; volumes of revolution
9.1 substitution for indefinite integrals; 9.1 continued; 9.3 substitution for definite integrals: Substitution techniques; 9.4 approximation of definite integrals;
9.6 improper integrals; LDOC: Approximation and improper integrals