Math 1320: Calculus for liberal arts

Calendar

8/17 (first lecture, everyone on Zoom): activity on functions. Graph 1 , Graph 2 , Graph 3 , Graph 4 , Graph 5

8/19: Section 1.1: video on functions

8/21: Section 1.3: video on shifts and stretches, video on composition, video on symmetry, video on inverses

8/24: Section 1.2 and 1.4: the definition of the logarithm , understanding properties of log

8/26: Section 1.5: The definition of sine and cosine

8/28: Section 1.6: the domain of a rational function , intuition for how fast functions grow , end behavior of rational functions

8/31 and 9/2: Section 1.7: introducing limits , 2 examples of limits , 2 more examples with sin

9/4: Section 1.8: 1 sided limits , limit laws , vertical asymptotes

9/9 and 9/11: Section 1.9: evaluating limits using continuity , by factoring , using the conjugate , of rational functions at infinity , using the squeeze theorem

9/14: EXAM

9/16: Section 2.1: average velocity , instantaneous velocity velocity on a graph

9/18: Section 2.2: definition of the derivative , the derivative graphically , computing a derivative

9/21 - 9/23: Section 2.3: the derivative as a function , the graph of a derivative

9/23: Section 2.4: Interpreting the derivative

9/25 and 9/28: Section 2.5: the second derivative as a function , what the sign of f''(x) says about the graph of f(x) , interpreting the second derivative

9/30: Section 2.6: the definition of differentiability , if a function is differentiable then it is continuous , how can a function fail to be differentiable?

10/2: Section 3.1+3.2: pascal's triangle , the power rule for negative exponents , defining the number e

10/5+10/7: Section 3.3: the product rule , an example using the product rule , the quotient rule , an example using the quotient rule

10/9+10/12: Section 3.4: chain rule intuition , chain rule example , example using the chain rule multiple times

10/14+10/16: curve sketching: info you need to sketch a curve , curve sketching tips

10/19: Optimization: if derivative is nonzero it cannot be a max/min , first derivative test , second derivative test

10/21: curve sketching quiz: an example for practice: make sign charts for f, f', f'' , find asymptotes and important points , plot important points , use sign charts to determine shape between points , fill in the final sketch

10/23: Optimization

10/26: exam 2 review

10/28+10/30: EXAM 2

11/2: Section 5.1: velocity and area , signed area and change in position

11/4: Section 5.2: approximating area with n rectangles , definition of the definite integral , the integral calculates "signed area"

11/6: Section 5.3: the definite integral is a function! , the derivative of the integral function

Assignments

Section 1.1 worksheet (due Friday August 28)

Section 1.3 worksheet (due Friday August 28)

Sections 1.2 and 1.4 worksheet (due Friday September 4)

Section 1.5 worksheet (due Friday September 4)

Section 1.6 worksheet (due Friday September 4)

Section 1.7 worksheet (due Friday September 11)

Section 1.8 worksheet (due Friday September 11)

Section 1.9 worksheet (due Monday September 14)

Section 2.1 worksheet (due Friday September 25)

Section 2.2 worksheet (due Friday September 25)

Section 2.3 worksheet (due Friday October 2)

Section 2.4 worksheet (due Friday October 2)

Section 2.5 worksheet (due Friday October 2)

Section 2.6 worksheet (due Friday October 9)

Section 3.1+3.2 worksheet (due Friday October 9)

Section 3.3 worksheet (due Friday October 16)

Section 3.4 worksheet (due Friday October 16)

Curve sketching worksheet (due Wednesday October 21)

Section 4.1+4.2 worksheet (due Friday October 30)

Section 5.1 worksheet (due Friday November 13)

Section 5.2 worksheet (due Friday November 13)

Section 5.3 worksheet (due Friday November 13)

Resources

Help for the first exam: A list of topics with suggested exercises

Help for standards 5-9: Here is a list of explanation of the topics with suggested exercises

Help for standards 11-13: Here is a study sheet for the final 3 standards

Link to the gathertown classroom

Syllabus: Section 001, Section 004

The MLRC: go here for the virtual MLRC and more information. Go here to book an appointment

Online calculators: Desmos and wolfram alpha