John Adamski, PhD

CCNY Math 21200-1XA: Calculus II with Introduction to Multivariable Functions, Summer 2020

Course Links

Course Documents

Lectures

DateAgendaNotesVideo
6/1/2020Welcome, 7.1 The Logarithm Defined as an IntegralNotesVideo
6/2/20207.1 continued, 7.3 Hyperbolic Functions, 8.1 Using Basic Integration FormulasNotesVideo
6/3/20208.1 ContinuedNotesVideo
6/4/20208.2 Integration by Parts, 8.3 Trigonometric IntegralsNotesVideo
6/8/20208.3 continued. 8.4 Trigonometric SubstitutionNotesVideo
6/9/2020Quiz 1 (7.1, 7.3, 8.1-8.2), 8.4 continued, 8.5 Integration of Rational Functions by Partial FractionsNotesVideo
6/10/20208.5 continuedNotesVideo
6/11/20208.7 Numerical Integration (omit error estimates), 8.8 Improper IntegralsNotesVideo
6/15/20208.8 ContinuedNotesVideo
6/16/2020Quiz 2 (8.3-5, 8.7), 10.1 SequencesNotesVideo
6/17/202010.1 continued, 10.2 Infinite Series (omit example 5)NotesVideo
6/18/202010.2 continued, 10.3 The Integral TestNotesVideo
6/22/202010.4 The Comparison TestsNotesVideo
6/23/2020Quiz 3 (8.8, 10.1-3), 10.5 Absolute Convergence, the Ratio and Root TestsNotesVideo
6/24/202010.6 Alternating Series and Conditional ConvergenceNotesVideo
6/25/202010.7 Power Series (omit multiplication of series)NotesVideo
6/29/202010.7 continuedNotesVideo
6/30/2020Midterm Exam (7.1, 7.3, 8.1-5, 8.7-8, 10.1-6)
7/1/202010.8 Taylor and Maclaurin Series, 10.9 Convergence of Taylor Series (omit theorem 24)NotesVideo
7/2/202010.9 continued, 10.10 Applications of Taylor Series (evaluating non-elementary integrals only), 11.1 Parametrizations of Plane CurvesNotesVideo
7/6/202011.1 continued, 11.3 Polar CoordinatesNotesVideo
7/7/2020Quiz 4 (10.7-10), 11.3 continued, 12.1 Three-Dimensional Coordinate SystemsNotesVideo
7/8/202012.1 continued, 12.2 Vectors (omit applications)NotesVideo
7/9/202012.2 continued, 12.3 The Dot Product (omit work)NotesVideo
7/13/202012.4 The cross productNotesVideo
7/14/2020Quiz 5 (11.1, 11.3, 12.1-4), 12.5 Lines and Planes in SpaceNotesVideo
7/15/202012.5 continued, 12.6 Cylinders and Quadric SurfacesNotesVideo
7/16/202012.6 continued, 14.1 Functions of Several VariablesNotesVideo
7/20/202014.2 Limits and Continuity in Higher Dimensions (omit computing epsilon and delta), 14.3 Partial DerivativesNotesVideo
7/21/2020Optional ReviewNotesVideo
7/22/2020Optional ReviewNotesVideo
7/23/2020Final Exam (cumulative), 5-7:15pm EST. At this time, the exam will appear in the CONTENT section of our class BLACKBOARD page.
Pracrice final exam Draft A -- Note: Questions 3 and 10 are both on topics that have been removed from the syllabus since this exam was created.Solutions
Pracrice final exam Draft B -- Note: Questions 7b and 10 are both on topics that have been removed from the syllabus since this exam was created.Solutions