De Anza College
Physical Sciences, Mathematics, & Engineering Division (PSME)
Math Department

Math 1B.10: Calculus (Integral)

Winter 2016

Syllabus

Office: S-43C (inside Math, Science and Technology Resource Center, on the right)

Office Hours: 30 minutes before class everyday, or by appointment, some Saturdays.


Email: delgadoricardo at deanza.edu (preferred contact method)

Phone Number: 408.864.8681

Teaching Experience:

Institutions of Higher Learning – Pre-Algebra, Intermediate Algebra, College Algebra, Pre-Calculus, Calculus (differential, integral, and multivariable), Business Calculus, Linear Algebra, Differential Equations, Abstract Algebra, Discrete Math, Partial Differential Equations, Statistics and Probability for Scientists and Engineers (both MS excel and Maple based), Statistics for Business, Mathematics for Elementary School Teachers, CASHEE preparation courses

High School – 9^th grade ESL Algebra 1; Algebra 1 general population; Functions, Statistics, and Trigonometry; Algebra Tutorial

As an undergraduate university student, TA for:  Discrete Math, Calculus, Modern Analysis, Linear Algebra, and Differential Equations

Worked as a tutor in my college’s math learning center beginning as an early undergrad through late grad school, until I was ineligible, so I volunteered my time thereafter.  I’ve traveled extensively, researching different methods of teaching in various parts of the world.  Actively researching in my field; teaching is my calling and I am blessed to have found it!

Printable Graph Paper

Graph Paper with Axes

School yourself, son!

Graphing Calculator on Android, Free.

Regression Calculators

Online 2-d graphing calculator

Topics Better Explained, my colleague Yuan Kuo provided this awesome link

Math Placement Exam Practice

1.     University of Maryland

2.     Barton College

3.     The City College of New York

4.     University of California at Davis (although some tests come from UCSD, go tritons!)

Summary of Coverage

Week 1:  hyperbolic functions HW1_1, HW1_2 (problems 3, 9-19), HW_2 (all),  HW 3

Week 2: Riemann Sums, HW 4, HW 5, limits of Riemann Sums, The Definite integral, HW 6, HW 7

Week 3: Fundamental Theorem of Calculus, HW 8, the definite integral, the indefinite integral, HW 9, table of basic integrals

Week 4: More on Definite Integrals, Net Change Theorem, HW 10, Integral Substitution, HW11

Exam 1 – Friday, Jan. 30^th , after exam, do the following HW 12

 Week 5: Areas between curves, HW13, HW 14, volumes,  work

Week 6: volumes continued, volumes by way of cylindrical shells, HW 15, HW 16, integration by parts

Week 7:  Integration by parts,  HW 17, Method of cylindrical shells revisited, HW 18, trigonometric integrals, HW19

Week 8: HW 20, Using Partial Fractions to help with integration,

Exam 2 – Wednesday February 24^nd, 2016

HW 21 – Method of Partial Fractions

Week 9:  Integral Estimates, HW22, HW 23, graph for HW 23, Improper Integrals, HW 24, HW 25

Week 10:  Arc Length,  HW 26, Center of Mass, surface area, HW 27 , Probability

Week 11:  Exam 3, Monday, Mar. 14^th 2016, Probability part 2, HW 28 Differential Equations

Week 12: Final Exam – Monday, Mar. 21^st in our classroom, no scantron needed, ever, in any of my classes, 11:30 am – 1:30 pm.

                 Photo by Melissa Aguilar,  Co-Director of the MSTRC

Exam 1 Information Week 4                  

Graphs of hyperbolic functions

(note #13, on interval [0, 2])     Test 1 Practice

Exam 2 Information Week 8

      T2 Practice (see below for specific numbers from this problem set)

      6.2 (1-12, 14-25)

      6.3 (1-7)

      7.1 (1-14)

      7.2 (1-18)

      7.3 (1-13)

                                Exam 3 Information

Week 11

7.4 – Method of Partial Fractions

7.7 – Trapezoid and Simpson’s Rules

7.8 – Improper Integrals

8.1 – Arc Length

8.2 – Surface Area

8.3 – Centroid of a Region

                                 Final Exam Information – Week 12

Takes Place on Monday, March 21^st 11:30 am – 1:30 pm in our classroom.