Math 2250: Calculus I for Science and Engineering (Fall 2021, CRN 25507)
General Info
Meeting Times

Course meetings: MWF 9:10 AM – 10:00 AM. Boyd 204.

Discussion section: Tuesday 2:20 PM – 3:35 PM. Geography and Geology 155.
The course begins Wednesday, August 18th. Our first meetings will be inperson.
Course discussions will be on the Zulip channel here: https://uga2250fall2021.zulipchat.com/
Syllabus and Scheduling
 You can download the syllabus here: https://dzackgarza.com/assets/courses/2021/2021FallSyallabusMath2250.pdf
 Due dates: see Gradescope.
 Class Calendar:
Week Number  Month  Day  Weekday  Topic  Description  Notes 

1  Aug  18  W  A Preview of Calculus  Course Intro (Icebreaker/Syllabus/Review)  
Aug  20  F  The Limit of a Function  A0: Precalc review, tangents and secants, position and (average) velocity  
2  Aug  23  M  The Limit Laws  B1: The Concept of Limit; Graphical Limits, One and TwoSided Limits, Vertical Asymptotes  
Aug  24  T  The Limit Laws  B2/B4: The Limit Laws; forms 0/0 and K/0 (K nonzero), The Squeeze Theorem  *dropadd ends Aug 24  
Aug  25  W  Continuity  B2/B4: The Limit Laws; forms 0/0 and K/0 (K nonzero), The Squeeze Theorem  
Aug  27  F  Flex Day  B3: Continuity; Intermediate Value Theorem  Homework CheckIn: Up to B4.  
3  Aug  30  M  Defining the Derivative  B5: The Definition of the Derivative, Applications, Estimating the Derivative at a Point  
Aug  31  T  The Derivative as a Function  B6: The Derivative as a Function; Sketching the Derivative, Derivatives and Continuity, Higher Order Derivatives; Applications  
Sept  1  W  Differentiation Rules  C1: Differentiation Rules  Constant, Power for integer exponent, sum/difference, constant multiple, product, quotient, applications (no e^x here)  
Sept  3  F  Derivatives as Rates of Change  C2: The Derivative as a Rate of Change  
4  Sept  6  M  Labor Day  No Class  
Sept  7  T  Derivatives of Trigonometric Functions  C3: Derivatives of Trig Functions  
Sept  8  W  The Chain Rule  C4: The Chain Rule  
Sept  10  F  Review  Homework CheckIn: up to C4  
5  Sept  13  M  Review  
Sept  14  T  Exam 1: Openstax 2.13.5, Workbook up to C4  
Sept  15  W  Implicit Differentiation  C5: Implicit Differentiation  
Sept  17  F  Implicit Differentiation  C5: Implicit Differentiation  
6  Sept  20  M  Derivatives of Inverse Functions  C6: Derivatives of Inverse Functions; the power rule for rational exponents, derivatives of inverse trig functions  
Sept  21  T  Derivatives of Exponential and Logarithmic Functions  C7: Derivatives of Exponential and Logarithmic functions  definition of e, derivatives of exponential functions, derivatives of logarithmic functions, logarithmic differentiation  
Sept  22  W  Derivatives of Exponential and Logarithmic Functions  C7: Derivatives of Exponential and Logarithmic functions  definition of e, derivatives of exponential functions, derivatives of logarithmic functions, logarithmic differentiation  
Sept  24  F  Related Rates  C8: Related Rates  
7  Sept  27  M  Related Rates  C8: Related Rates  
Sept  28  T  Related Rates  C8: Related Rates  
Sept  29  W  Linear Approximations and Differentials  D1: Linear Approximations and Differentials  
Oct  1  F  Maxima and Minima  D2: Extrema, Extreme Value Theorem, Critical Points, Local Extrema  must be interior, Closed Interval Max/Min Problems; Absolute/Local Extrema on Graphs  
8  Oct  4  M  Review  
Oct  5  T  Exam 2: Openstax 3.64.2, Workbook up to C8  
Oct  6  W  The Mean Value Theorem  D3: MVT, IVT, EVT  
Oct  8  F  Derivatives and the Shape of a Graph  D2: EVT, Local and global minima and maxima, critical points  
9  Oct  11  M  Derivatives and the Shape of a Graph  D1: Linear Approximation and Differentials  
Oct  12  T  Derivatives and the Shape of a Graph  D4: Derivative tests  
Oct  13  W  Limits at Infinity and Asymptotes  D4/D5: Derivative tests, concavity  
Oct  15  F  Limits at Infinity and Asymptotes  D5: Concavity, curve sketching, limits at infinity  
10  Oct  18  M  Applied Optimization  D6/D7/D8: Concavity, limits at infincity, optimization  
Oct  19  T  Applied Optimization  D7/D8: Optimization  
Oct  20  W  Applied Optimization  D8: Optimization  
Oct  22  F  Flex Day  
11  Oct  25  M  L’Hopital’s Rule  D9: L’Hopital’s Rule; Indeterminate Forms  *oct 25 withdraw deadline 
Oct  26  T  L’Hopital’s Rule  D9: L’Hopital’s Rule; Indeterminate Forms  
Oct  27  W  Antiderivatives  Review  
Oct  29  F  Fall Break  No Class  No class  
12  Nov  1  M  Review  Review  
Nov  2  T  Exam 3: Openstax 4.34.10, Workbook D1 – D9  
Nov  3  W  Approximating Area  E1: Antiderivatives; Indefinite Integrals, Initial Value Problems  
Nov  5  F  Approximating Area  E2: Approximating Areas; Sigma Notation, Area Estimates, Riemann Sum, Upper/Lower Sums  
13  Nov  8  M  The Definite Integral  E3/E4: The Definite Integral; Limit Definition of the Definite Integral, Notation, Net Signed Area, Total Area, Properties, Average Value  
Nov  9  T  The Definite Integral  E3/E4: The Definite Integral; Limit Definition of the Definite Integral, Notation, Net Signed Area, Total Area, Properties, Average Value  
Nov  10  W  The Fundamental Theorem of Calculus  E5: The Fundamental Theorem of Calculus; Mean Value Theorem for Integrals  
Nov  11  F  The Fundamental Theorem of Calculus  E5: The Fundamental Theorem of Calculus  
14  Nov  15  M  Integration Formulas and the Net Change Theorem  E5: Integration Formulas and the Net Change Theorem  
Nov  16  T  Substitution  E6/E7: Substitution; Indefinite and Definite Integrals with Substitution (Power, Trig); Integrals Involving Exponential and Logarithmic Functions; Integrals Involving Exponential and Logarithmic Functions; Integrals Resulting in Inverse Trig Functions (only do a=1; no inverse secant)  
Nov  17  W  Substitution  E6/E7: Substitution; Indefinite and Definite Integrals with Substitution (Power, Trig); Integrals Involving Exponential and Logarithmic Functions; Integrals Involving Exponential and Logarithmic Functions; Integrals Resulting in Inverse Trig Functions (only do a=1; no inverse secant)  
Nov  19  F  Substitution  E6/E7: Substitution; Indefinite and Definite Integrals with Substitution (Power, Trig); Integrals Involving Exponential and Logarithmic Functions; Integrals Involving Exponential and Logarithmic Functions; Integrals Resulting in Inverse Trig Functions (only do a=1; no inverse secant)  
15  Nov  22  M  Areas Between Curves  E8: Areas Between Curves  
Nov  23  T  Areas Between Curves  E8: Areas Between Curves  
Nov  24  W  Thanksgiving Break  
Nov  26  F  No class  
16  Nov  29  M  Review  
Nov  30  T  Exam 4: Openstax 5.16.1  
Dec  1  W  Course Review  
Dec  3  F  Course Review  
17  Dec  6  M  Course Review  
Dec  7  T  Course Review  Dec 7 last class day, Friday class schedule  
Dec  8  W  Reading Day  
18  Final Exams Dec 915  
MATH 2250 Mass Final Exam  Tues., Dec. 14, 7 p.m. 10 p.m. 
Misc
 If you have any questions or otherwise need assistance, please email me at zack@uga.edu.
 Free department tutoring: https://dae.uga.edu/services/tutoring/