Chapter 12: Introduction to Calculus
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Course: MATH 142 (Precalculus II) — Bridge to MATH 161
Overview
This chapter previews the fundamental concepts of calculus: limits, continuity, and derivatives. These topics provide a bridge from precalculus to the rigorous treatment in Calculus I.
Source Material: OpenStax Precalculus Chapter 12 (CC BY 4.0)
Sections
| Section | Topic | Skills |
|---|---|---|
| 12.1 | Finding Limits: Numerical and Graphical Approaches | Limit intuition, tables, graphs |
| 12.2 | Finding Limits: Properties of Limits | Limit laws, algebraic evaluation |
| 12.3 | Continuity | Continuity at a point, on intervals |
| 12.4 | Derivatives | Derivative definition, basic rules |
Skills in This Chapter
What This Unlocks
Completing this chapter prepares you for:
- MATH 161: Calculus I (formal treatment)
- Stewart 2.1: Tangent and velocity problems
- Stewart 2.2: The limit of a function (rigorous)
- Stewart 2.5: Continuity
- Stewart 2.7: Derivatives and rates of change
Ready for Calculus?
After completing Precalculus (Chapters 1-12), you have the foundation for:
| Next Course | Focus |
|---|---|
| MATH 161 | Limits, derivatives, integrals |
| MATH 162 | Integration techniques, applications |
| MATH 163 | Sequences, series, vectors |
| MATH 241 | Multivariable calculus |
| Previous | Up | Next |
|---|---|---|
| Chapter 11 | Precalculus | Stewart Chapter 1 |