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 in-person.

Course discussions will be on the Zulip channel here: https://uga2250fall2021.zulipchat.com/

Syllabus and Scheduling

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 Two-Sided 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 *drop-add 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 Check-In: 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 Check-In: up to C4
5 Sept 13 M Review    
  Sept 14 T Exam 1: Openstax 2.1-3.5, 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 3.6-4.2, Workbook up to D2    
  Oct 6 W The Mean Value Theorem D3: The Mean Value Theorem; Consequences of the Mean Value Theorem  
  Oct 8 F Derivatives and the Shape of a Graph D4/D5: Derivatives and the Shape of a Graph - First Derivative Test, Concavity, Concavity Criterion, Inflection Points, Second Derivative Test  
9 Oct 11 M Derivatives and the Shape of a Graph D4/D5: Derivatives and the Shape of a Graph - First Derivative Test, Concavity, Concavity Criterion, Inflection Points, Second Derivative Test  
  Oct 12 T Derivatives and the Shape of a Graph D4/D5: Derivatives and the Shape of a Graph - First Derivative Test, Concavity, Concavity Criterion, Inflection Points, Second Derivative Test  
  Oct 13 W Limits at Infinity and Asymptotes D6: Limits at Infinity, Horizontal Asymptotes, End Behaviors, Infinite Limits at Infinity, Curve Sketching  
  Oct 15 F Limits at Infinity and Asymptotes D6: Limits at Infinity, Horizontal Asymptotes, End Behaviors, Infinite Limits at Infinity, Curve Sketching  
10 Oct 18 M Applied Optimization D7/D8: Applied Optimization  
  Oct 19 T Applied Optimization D7/D8: Applied Optimization  
  Oct 20 W Applied Optimization D7/D8: Applied 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 E1: Antiderivatives; Indefinite Integrals, Initial Value Problems  
  Oct 29 F Fall Break - No Class    
12 Nov 1 M Review    
  Nov 2 T Exam 3: Openstax 4.3-4.10, Workbook up to E1    
  Nov 3 W Approximating Area E2: Approximating Areas; Sigma Notation, Area Estimates, Riemann Sum, Upper/Lower Sums  
  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 5.1-6.1    
  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 9-15    
        MATH 2250 Mass Final Exam Tues., Dec. 14, 7 p.m. -10 p.m.  

Misc

Course Notes