Math 2250: Calculus I for Science and Engineering (Spring 2022, CRN 35643)
General Info
Meeting Times

Course meetings: MWF 8:00 AM – 8:50 AM. Boyd 323.

Discussion section: Tuesday 8:00 AM – 9:15 AM. Boyd 303.
The course begins Monday, January 10th. Our first meetings will be inperson.
Syllabus and Scheduling
 You can download the syllabus here: https://dzackgarza.com/assets/courses/2022/2022SpringSyallabusMath2250.pdf
 Due dates: see Gradescope.
 Class Calendar:
Week Number  Month  Day  Inclass Topic  Preclass Work  Notes 

1  Jan  10  Review/Preview  Course Intro (Icebreaker/Syllabus/Review)  
Jan  11  Motivations for Calculus, Review of Functions  A0: Precalc review, tangents and secants, position and (average) velocity  
Jan  12  Domains, Inverse Functions, Line Tests  B1: The Concept of Limit; Graphical Limits, One and TwoSided Limits, Vertical Asymptotes  
Jan  14  More functions, abstract definition of the limit  B2: The Limit Laws; forms 0/0 and $K/0$ ($K$ nonzero), The Squeeze Theorem  
2  Jan  17  No class: MLK  No class: MLK  
Jan  18  Continuity, computing limits  B4: The Limit Laws  
Jan  19  Asymptotes, discontinuity  B3: Continuity; Intermediate Value Theorem  
Jan  21  More continuity  B5: The Definition of the Derivative, Applications, Estimating the Derivative at a Point  Homework CheckIn: Up to B4.  
3  Jan  24  Limit laws, showing functions are continuous, discontinuities  B6: Sketching the Derivative, Derivatives and Continuity, Higher Order Derivatives; Applications  
Jan  25  Limit definition of the derivative  C1: Differentiation Rules  Constant, Power for integer exponent, sum/difference, constant multiple, product, quotient, applications (no e^x here)  
Jan  26  Derivatve as an operator, examples using the limit definition, differentiable implies continuous  C2: The Derivative as a Rate of Change  
Jan  28  Order limit laws, squeeze theorem, gluing theorem, “highest power” trick  C3: Derivatives of Trig Functions  
4  Jan  31  Rates of change, finding asymptotes, derivative laws  C4: The Chain Rule  
Feb  1  Derivative laws, computing derivatives  
Feb  2  Trig derivatives, the chain rule  Homework CheckIn: up to C4 (Feb 3rd)  
Feb  4  Instantaneous rates of change, linearization, tangent lines  
5  Feb  7  Review  Exam 1 practice on ELC  
Feb  8  Exam 1: Openstax 2.13.5, Workbook up to C4  
Feb  9  Implicit differentiation  C5: Implicit Differentiation  
Feb  11  Derivatives of inverse functions  C6: Derivatives of Inverse Functions; the power rule for rational exponents, derivatives of inverse trig functions  
6  Feb  14  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  
Feb  15  Related Rates  C8: Related Rates  
Feb  16  Related Rates  C8: Related Rates  
Feb  18  Related Rates  C8: Related Rates  
7  Feb  21  Linear Approximations and Differentials  D1: Linear Approximations and Differentials  Homework CheckIn: up to C8 
Feb  22  Maxima and Minima  D2: Extrema, Extreme Value Theorem, Critical Points, Local Extrema, Closed Interval Max/Min Problems; Absolute/Local Extrema on Graphs  
Feb  23  Maximization  
Feb  25  Review  Exam review on ELC  
8  Feb  28  Review  D3: MVT, IVT, EVT  
Mar  1  Exam 2: Openstax 3.64.2, Workbook up to C8  D2: EVT, Local and global minima and maxima, critical points  
Mar  2  The Mean Value Theorem  D1: Linear Approximation and Differentials  
Mar  4  Derivatives and the Shape of a Graph  D4: Derivative tests  
9, SB  Mar  7  SB  SB  
SB  Mar  8  SB  SB  
SB  Mar  9  SB  SB  
SB  Mar  11  SB  SB  
10  Mar  14  Limits at Infinity and Asymptotes  D4/D5: Derivative tests, concavity  
Mar  15  Limits at Infinity and Asymptotes  D5: Concavity, curve sketching, limits at infinity  
Mar  16  Applied Optimization  D6/D7/D8: Concavity, limits at infincity, optimization  
Mar  18  Applied Optimization  D7/D8: Optimization  
11  Mar  21  Applied Optimization  D8: Optimization  
Mar  22  Flex day  Flex day  
Mar  23  L’Hopital’s Rule  D9: L’Hopital’s Rule; Indeterminate Forms  
Mar  25  L’Hopital’s Rule  D9: L’Hopital’s Rule; Indeterminate Forms  Homework CheckIn: up to D9  
12  Mar  28  Antiderivatives  E1: Antiderivatives; Indefinite Integrals, Initial Value Problems  
Mar  29  Approximating Area  E1: Antiderivatives; Indefinite Integrals, Initial Value Problems  
13  Mar  30  Antiderivatives  E2: Approximating Areas; Sigma Notation, Area Estimates, Riemann Sum, Upper/Lower Sums  
Apr  1  Review  Review  
Mar  4  Review  Review  
Apr  5  Exam 3: Openstax 4.34.10, Workbook D1 – D9  Exam  
Apr  6  The Definite Integral  E3/E4: The Definite Integral; Limit Definition of the Definite Integral, Notation, Net Signed Area, Total Area, Properties, Average Value  
Apr  8  The Definite Integral  E3/E4: The Definite Integral; Limit Definition of the Definite Integral, Notation, Net Signed Area, Total Area, Properties, Average Value  
14  Apr  11  The Fundamental Theorem of Calculus  E5: The Fundamental Theorem of Calculus; Mean Value Theorem for Integrals  
Apr  12  The Fundamental Theorem of Calculus  E5: The Fundamental Theorem of Calculus  
Apr  13  Integration Formulas and the Net Change Theorem  E5: Integration Formulas and the Net Change Theorem  
Apr  15  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  Apr  18  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)  
Apr  19  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)  
Apr  20  Areas Between Curves  E8: Areas Between Curves  
Apr  22  Areas Between Curves  E8: Areas Between Curves  Homework CheckIn: up to E8  
16  Apr  25  Review  
Apr  26  Review  
Apr  27  Review  
Apr  29  Review  
17  May  2  Exam 4: Openstax 5.16.1  Exam  
May  3  Course Review  
May  TBA 
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/