An accessible, rigorous introduction to differentiation and integration of functions of one variable — built for students headed into business, economics, and the social and life sciences rather than pure math. Emphasis throughout is on using calculus as a problem-solving tool: rates of change, optimization, accumulation, and what they mean in a real model, not just how to compute them.
Completed entirely without AI assistance. AI must not be used at any point during these assessments.
AI may be used as a co-pilot throughout Webwork to support your own work — no need to flag which content is AI-assisted.
Lectures, office hours, recitations, and tutorial venues — updated live. TAs pick their own tutorial seat and office hours here too.
Loading…
This list is managed in one place (schedule admin panel → Teaching team) and shared with the schedule page, so it's always in sync.
Lecture notes are posted per instructor, week by week, alongside the weekly problem set and its solution. Recitation slides & notes are shared across all 3 sections that week.
Notes provided by each instructor; problem sets go up week by week.
Loading…
Same slides/notes for all 3 sections.
| Week | Slides | Notes |
|---|---|---|
| Week 1 | Slides → | PDF → |
| Week 2 | Slides → | Coming soon |
| Week 3 | Slides → | Coming soon |
| Week 4 | Slides → | Videos → |
| Week 5 | Coming soon | Coming soon |
| Week 6 | Coming soon | Coming soon |
| Week 7 | Coming soon | Coming soon |
| Week 8 | Coming soon | Coming soon |
| Week 9 | Coming soon | Coming soon |
| Week 10 | Coming soon | Coming soon |
| Week 11 | Coming soon | Coming soon |
| Week 12 | Coming soon | Coming soon |
| Week 13 | Coming soon | Coming soon |
| Week 14 | Coming soon | Coming soon |
| Week | Topics | Sections |
|---|---|---|
| Wk 1 | A preview of calculus Review of functions & models (Econ/Business/Social Science lens) | HBSP 1.1–1.4 |
| Wk 2 | Limits (with graphical applets) Continuity (with graphical applets) | HBSP 1.5, 1.6 |
| Wk 3 | The Derivative (with graphical applets) Techniques of Differentiation | HBSP 2.1, 2.2 |
| Wk 4 | Product & Quotient Rules; Higher-Order Derivatives The Chain Rule | HBSP 2.3, 2.4 |
| Wk 5 | Marginal Analysis & Approximations Linear Approximation using Increments | HBSP 2.5 |
| Midterm I | ||
| Wk 6 | Implicit Differentiation & Related Rates Increasing & Decreasing Functions | HBSP 2.6, 3.1 |
| Wk 7 | Relative Extrema (with graphical applets) Concavity & Points of Inflection | HBSP 3.1, 3.2 |
| Wk 8 | Optimization; Elasticity of Demand Applied Optimization | HBSP 3.3, 3.4 |
| Wk 9 | Exponential & Logarithmic Functions Their Differentiation & Applications | HBSP 4.1–4.4 |
| Wk 10 | Indefinite Integration & Differential Equations Integration by Substitution | HBSP 5.1, 5.2 |
| Midterm II | ||
| Wk 11 | The Definite Integral & Fundamental Theorem of Calculus Distribution of Wealth & Average Value | HBSP 5.3, 5.4 |
| Wk 12 | Additional Applications of Integration (Business, Economics & Social Sciences) | HBSP 5.5, 5.6 |
| Wk 13 | Integration by Parts; Integral Tables Evaluating Limits with L'Hôpital's Rule | HBSP 6.1, A.3 |
| Wk 14 | Numerical Integration — Trapezoidal & Simpson’s Rule Improper Integrals — Intro to Continuous Probability | HBSP 6.2, 6.3, 6.4 |
Develop a solid grasp of the foundational concepts of calculus — limits, continuity, differentiation, and integration — and their theoretical and practical significance.
Apply differentiation and integration techniques to real-world problems in economics, biology, and social sciences: rates of change, optimization, and area/accumulation problems.
Understand Riemann integrals as anti-derivatives, and evaluate integrals using advanced techniques of integration to solve mathematical problems.
The Fall 2025 offering of Calculus I covers the same material — its lecture notes and practice quizzes are still live. Use it alongside this section for extra worked examples while this term's own notes go up.