• Functions, graphs, linear functions (§1.1, 1.2)

• The exponential function (§1.3)

• The number , the exponential function , inverse functions (§§1.7, 1.5)

• Inverse functions, natural logarithm function , new functions from old (§1.5, 1.7, 1.8)

• Power functions, exponential vs. power functions, polynomials (§1.4, 1.10)

• Trigonometric functions (§1.9, CSC.1)

• Inverse trigonometric functions (§1.9)

• Rational functions, limits, continuity (§§1.10, 1.11)

• The derivative: conceptual introduction (§§2.1, 2.2)

• The derivative function: and (§§2.3—2.5)

• Limits and continuity, linear approximations (FOCUS on theory)

• The definite integral: conceptual introduction (§§3.1, 3.2, CSC.2)

• The definite integral: interpretations (§§3.2, 3.3)

• Fundamental theorem of calculus (§3.4, FOCUS on theory)

• Derivatives of polynomials, the product and quotient rules (§§4.1, 4.3)

• Derivative of , the chain rule (§§4.2, 4.4)

• Derivatives of trig functions, derivatives of inverse functions (§§4.6, 4.6)

• Differential equations, slope fields (§§10.1, 10.2)

• Euler’s method–solving differential equations numerically (§10.3)

• Implicit functions, linear approximations and limits (§§4.7, 4.8, CSC.3)

• Selected applications of derivatives (from Chapter 5)

• Constructing antiderivatives–graphically, numerically, analytically (§§6.1, 6.2)

• Differential equations, equations of motion (§§6.3, 6.4, FOCUS on modeling, CSC.4)

• Integration by substitution, integration by parts (§§7.1—7.3)

• Differential equations for modeling–selected applications (§§10.4—10.7, CSC.5)

• Approximating definite integrals; what is an improper integral? (§§7.5—7.8)

• Revisit logarithms and exponentials

• Definite integral: selected applications to geometry, physics, or economics (§§8.1—8.4)

• Course wrap-up and evaluation