TEAMING, ACTIVE LEARNING, AND ASSESSMENT ACTIVITIES


DAY         TOPIC                           MODE

1.1         Arithmetic in Maple             Individual exercise

1.1         Memorization, pro & con         Individual exercise

1.1         Maple syntax                    [Team ass.] (omitted 
                                            this year)
1.2         Maple plotting                  Team assignments

1.2         Exp and log functions           Web exercise

2.1         Definition of function          Think-share

2.1         Composition of functions        Command performance

2.2         Numerical estimation of         Team exercise
            tangents and velocities
3.1,2       Limit laws                      Team assignments

3.3         Secants and tangents            Team assignments

3.3,4.1     Sketch deriv. & antideriv.      Team exercise

4.1         Derivatives                     Individual RAT

4.1         Higher derivs. & antideriv.     Volunteers or
                                            command performance
4.2         Antiderivatives in physics      Team exercise

5.1         Product & quotient rules        Individual RAT

5.1         Intensive/extensive quantities  Student input 

5.1         Derivatives of trig functions   Team exercise

5.2         Application of derivatives      Team exercise

6.1         Basic vector concepts           Oral RAT

6.2         Projections on ON basis         Team RAT

6.2,3       Parametrizations of circle      Team exercise

7.1         Chain rule                      Team assignments

7.3,8.1     Related rates                   Jigsaw

8.1         Summation notation              Individual RAT

9.1         Deriving Simpson's rule         Student input

9.2         Redemption quiz (curve)         Individual quiz

9.3         Applying fundamental theorem    Student input or
                                            command performance  
10.1        FTC; substitution               Individual RAT

10.1        Substitution (peer grading)     Team exercise

10.2,3      Related rates "paradox"         Extra credit

10.2        Areas                           Team exercise

11.1        Simple line integral            Team exercise

11.2,3      Arc length integrals (4)        Team exercise

11.3        Path-independent line integral  Team assignments

12.1        Meaning of partial derivative   [Command performance]
                                            (changed to examples)
12.2        Constructing a potential        Team assignments

13.1        Double integral (rectangular)   Team exercise

13.2        Double int. (nonrectangular)    Think-share

13.2        Verify Green's theorem          [Team exercise] (chg. 
                                            to extra credit)
14.1        Absolute max and min            Team RAT

14.2        Sketch a cubic                  Individual exercise
                                            with hints
14.3        Sketch nonpolynomial with cusp  Individual exercise 
                                            with hints
15.1        Sketch with asymptotes          Team RAT

15.1        More sketches                   [Team assignments]
                                            (omitted this year)

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16.TR,17.T  Applied max/min problems        Jigsaw

16.R        Cross product                   Individual RAT

17.R        Max/min problem writeup         Extra credit

18.T        Calculus formulas for exp/ln    Individual RAT

18.T        Calculus with exp and ln        Think-share

18.T        Species-area rule               Extra credit 

18.T        Logarithmic differentiation     Command performance

18.R        Growth-decay applications       Oral RAT (extended
                                            rhetorical question)
18.R        Inverse-trig antiderivatives    Team assignments

18.R,19.T   Derivative of inverse function  [Team RAT] (moved to
                                            individual quiz)
19.T        L'Hospital's rule               Individual quiz

20.T        Integration by parts (trig)     Individual exercise

20.T        Integration by parts (inv.tr.)  Team exercise

20.T        Redo test question for curve    "Extra" credit 

20.R        Volume (AutoCad comparison)     Team exercise

20.R        Volume (vary axis & method)     Team assignments

21.T        Contribute graphics to Web      Extra credit

21.T        Mass with radial density        Team exercise

21.R        Mass of block, nonconst. dens.  Student input

21.R        Center of mass of block         Team RAT

22.T        Centroid of Pac-Man             Team assignments

22.T        Complete above in rect. coords. Extra credit

22.TR       Moment of inertia of pipe       Team exercise

23.T        Euler's method                  [Team RAT] (omitted 
                                            this year)
23.T        Separable ODE                   [Team ex.] (changed to 
                                            lecture example)
24.T        2nd-order homog. ODE            Indiv. assignments

24.R        Simple inhomog. ODE             [RAT] (changed to 
                                            example)
24.R        Undetermined coefficients       Team assignments

25.T        Crosswalk (intro. to Taylor)    Web exercise

25.T        Simple Taylor expansion         Team exercise

25.R        Multiplying Taylor expansions   Team RAT

25.R        Hypotheses in mean value thm.   Team exercise

25.R,26.T   Radiation law (limiting cases)  Team exercise

26.T,27.T   Alternatives to geom. series    Student input

26.T        Quantifiers (loving a lover)    Student input

26.R        Epsilon-delta games             Command performance

27.T        Simple epsilon-delta proof      Think-share

28.T        Sketch antiderivs. at infinity  Team exercise

28.T        Integral of x^{-p} at 0         Team exercise

28.R        Improper integrals              RAT

29.T        Series convergence tests        Team assignments

29.R        Example of integral test        Team RAT

29.R        Recognize & sum geom. series    Extra team exercise

30.T        Essay based on history article  Think-share