Mon 11/16: Volumes by Rotation HW: p. 406 #1-6 (cross-sections), #7, 10-20 (washers/disks)
Tue 11/17: More Volumes by Rotation (shells)
Wed 11/18: Length of Curves HW: p. 416 #1-12
Thu 11/19: More practice with volumes and areas
Fri 11/20: Quiz: Volumes and Areas.
Tue 11/17: More Volumes by Rotation (shells)
Wed 11/18: Length of Curves HW: p. 416 #1-12
Thu 11/19: More practice with volumes and areas
Fri 11/20: Quiz: Volumes and Areas.
Tue 11/10: Antiderivative Quiz
Wed 11/11: Integrals as Net Change HW p. 386 #8-20
Thu 11/12: Areas Between Curves HW p. 395 #1-6, 9-12
Wed 11/11: Integrals as Net Change HW p. 386 #8-20
Thu 11/12: Areas Between Curves HW p. 395 #1-6, 9-12
Mon 10/26: Fundamental Theorem of Calculus: Part 2 and practice with antiderivatives HW p. 303 #27-40
Tue 10/27: Slope Fields and differential equations
Wed 10/28: Euler's Method HW p. 327 #1-4, 35-44
Thu 10/29: Integration by Substitution Method HW p. 338 #17-46
Fri 10/30: Integration by Parts HW p. 346 #1-10
Tue 10/27: Slope Fields and differential equations
Wed 10/28: Euler's Method HW p. 327 #1-4, 35-44
Thu 10/29: Integration by Substitution Method HW p. 338 #17-46
Fri 10/30: Integration by Parts HW p. 346 #1-10
Mon 10/19: Explore integrals using Python programming. Link to Code
Tue 10/20: Use yesterday's code to approximate net areas for various functions and bounds.
Wed 10/21: Look at average value of a function and mean value theorem as a way to introduce Fundamental Theorem of Calculus (Pt 1)
Thu 10/22: Practice with estimating areas, finding average values, and basic FTC1 problems.
Fri 10/23: Quiz over estimating areas, finding avg values, and FTC1.
Tue 10/20: Use yesterday's code to approximate net areas for various functions and bounds.
Wed 10/21: Look at average value of a function and mean value theorem as a way to introduce Fundamental Theorem of Calculus (Pt 1)
Thu 10/22: Practice with estimating areas, finding average values, and basic FTC1 problems.
Fri 10/23: Quiz over estimating areas, finding avg values, and FTC1.
Mon 10/12: Requiz on Optimization and Related Rates
Tue 10/13: Estimating area under curves with rectangles and trapezoids
Thu 10/15: Finding area between curves with different boundaries by estimating with rectangles
Fri 10/16: Develop integral notation and use it to compute estimates of areas.
Tue 10/13: Estimating area under curves with rectangles and trapezoids
Thu 10/15: Finding area between curves with different boundaries by estimating with rectangles
Fri 10/16: Develop integral notation and use it to compute estimates of areas.
Mon 10/5: Continue working on related rates
Tue 10/6: Finish related rates practice
Wed 10/7: Prepare for quiz tomorrow with practice problems
Thu 10/8: Quiz: Optimization and Related Rates
Fri 10/9: Thinking about area under curves.
Tue 10/6: Finish related rates practice
Wed 10/7: Prepare for quiz tomorrow with practice problems
Thu 10/8: Quiz: Optimization and Related Rates
Fri 10/9: Thinking about area under curves.
Tue 9/29: Continue optimization practice
Wed 9/30: More optimization practice
Thu 10/1: Introduction to related rates
Fri 10/2: Practice with related rates HW (Due Tue 10/6): p. 251 #12, 14, 15, 17, 21, 28, 30
Wed 9/30: More optimization practice
Thu 10/1: Introduction to related rates
Fri 10/2: Practice with related rates HW (Due Tue 10/6): p. 251 #12, 14, 15, 17, 21, 28, 30
Mon 9/21: Define and find extrema from graphs and first derivatives.
Tue 9/22: Practice derivatives of piecewise functions and relationship with extrema.
Wed 9/23: Worth with real-world context to solve optimization problems.
Thu 9/24: Continue optimization work. HW (Due Thu 10/1): p. 226 #3, 10, 11, 13, 14, 16, 17, 18, 29, 30, 35
Tue 9/22: Practice derivatives of piecewise functions and relationship with extrema.
Wed 9/23: Worth with real-world context to solve optimization problems.
Thu 9/24: Continue optimization work. HW (Due Thu 10/1): p. 226 #3, 10, 11, 13, 14, 16, 17, 18, 29, 30, 35
Mon 9/14: Review derivative rules, increasing/decreasing/concavity, and sketching derivatives.
Tue 9/15: Quiz
Wed 9/16: Find derivatives of functions defined implicitly and use that understanding to extend the Power Rule. HW: p. 162 #1-30
Thu 9/17: Explore derivatives of inverse trigonometric functions and exponential/logarithm functions. HW: p. 170 #1-8 and p. 178 #1-28
Fri 9/18: Practice derivatives of logarithms and exponential functions of various bases.
Tue 9/15: Quiz
Wed 9/16: Find derivatives of functions defined implicitly and use that understanding to extend the Power Rule. HW: p. 162 #1-30
Thu 9/17: Explore derivatives of inverse trigonometric functions and exponential/logarithm functions. HW: p. 170 #1-8 and p. 178 #1-28
Fri 9/18: Practice derivatives of logarithms and exponential functions of various bases.
Tue 9/8: TLW consider higher order derivatives in a physics context (position, velocity, acceleration) and practice finding patterns. HW: p. 146 #11-20
Wed 9/9: TLW use an understanding of higher derivatives to sketch derivatives for given graphs. HW: p. 215 #21-28
Thu 9/10: TLW begin the process of graphing functions based on information gleaned from first and second derivatives as well as other algebraic concepts. HW: p. 153 #13-28
Fri 9/11: TLW continue to refine the process of graphing functions from information learned in high school math courses.
Wed 9/9: TLW use an understanding of higher derivatives to sketch derivatives for given graphs. HW: p. 215 #21-28
Thu 9/10: TLW begin the process of graphing functions based on information gleaned from first and second derivatives as well as other algebraic concepts. HW: p. 153 #13-28
Fri 9/11: TLW continue to refine the process of graphing functions from information learned in high school math courses.
Mon 8/31`: The learner will practice finding slopes of tangent lines at a point in preparation for the quiz tomorrow..
Tue 9/1: Limits and Derivative by Definition Quiz
Wed 9/2: TLW interpret derivatives as a function. .
Thu 9/3: TLW practice with derivatives as functions.
Fri 9/4: TLW begin deriving rules for derivatives (Sum/Different, Constant Multiple, Power) HW: p. 124 #1-24
Tue 9/1: Limits and Derivative by Definition Quiz
Wed 9/2: TLW interpret derivatives as a function. .
Thu 9/3: TLW practice with derivatives as functions.
Fri 9/4: TLW begin deriving rules for derivatives (Sum/Different, Constant Multiple, Power) HW: p. 124 #1-24