| Syllabus | Contact Information |

MTH 1014A - 0 - Pre-Calculus

Fall 2013
Online Section
Herbert J. Bernstein (yaya@dowling.edu)

Assignments

 


This web page is http://www.bernstein-plus-sons.com/.dowling/MTH1014F12/MTH1014_Assignments.html
Copyright © 2013 Herbert J. Bernstein and other parties. All rights reserved.


All assignments more than 2 weeks ahead are subject to change. Recheck this page frequently.

Overall assignment for the semester: You are to view all the assigned videos, read all of the following pages from the text book, doing all exercises and problems. As you read each section, you should prepare notes. Then you should use those notes to take the assigned quizzes.

Most of the videos for the course are from the Khan Academy (http://www.khanacademy.org). Be sure to make use of the "Pactice this Concept" button on the videos that have one. It is very important that you register for the Khan Academy, select the instructor (yayahjb@gmail.com) as a coach, and be logged in when you do the drills. That is how you will get credit for doing the drills.

Assignment Schedule (subject to change during the semester):
Do the quizzes by the indicated due date. Quizzes with live links are ready to take.

Assigment No. Videos Reading Assigned Due By
1 Important: There will be a group Skype meeting at 8 pm on Thursday, 12 September 2013. If you wish to participate, be sure to send a Skype contact request to the instructor (yayahjb) before that. Be sure to mention MTH1014F13 in the contact request,

You will find a neat guide to most of the topics you need to practice at https://www.khanacademy.org/exercisedashboard
In particular you are to do the following vieos and drills:
https://www.khanacademy.org/math/arithmetic/fractions/number_sets/v/number-sets
https://www.khanacademy.org/math/arithmetic/fractions/number_sets/v/number-sets-1
https://www.khanacademy.org/math/arithmetic/fractions/number_sets/v/number-sets-2
https://www.khanacademy.org/math/arithmetic/fractions/number_sets/v/number-sets-3
http://stattrek.com/probability/set-and-subset.aspx
http://www.youtube.com/watch?v=7CQ_bTfRWzE
https://www.khanacademy.org/math/arithmetic/order-of-operations
http://www.khanacademy.org/math/arithmetic
https://www.khanacademy.org/math/algebra/multiplying-factoring-expression
http://www.khanacademy.org/math/algebra/exponents-radicals
http://www.khanacademy.org/math/algebra/quadtratics
http://stattrek.com/probability/set-and-subset.aspx
http://www.youtube.com/watch?v=7CQ_bTfRWzE
https://www.khanacademy.org/math/trigonometry/polynomial_and_rational/quad_factoring/e/factoring_polynomials_by_grouping_1
https://www.khanacademy.org/math/trigonometry/polynomial_and_rational/quad_factoring/e/factoring_polynomials_1
https://www.khanacademy.org/math/trigonometry/polynomial_and_rational/quad_factoring/e/factoring_polynomials_2
https://www.khanacademy.org/math/algebra/polynomials/dividing_polynomials/v/synthetic-division
https://www.khanacademy.org/math/algebra/rational-expressions
https://www.khanacademy.org/math/algebra/exponent-equations/exponent-properties-algebra/v/negative-and-positive-exponents

Sullivan R.1, R.2, R.3, R.4, R.5, R.6, R.7, R.5, pp. 1 -- 84
Safier, 1, 2, 3, 4 pp. 1 -- 28
Tuesday, 3 Sep 2013 Tuesday, 17 Sep 2013
Do Quiz 1 by 17 Sep 2013
2 Important: There will be a group Skype meeting at 8 pm on Thursday, 19 September 2013. If you wish to participate, be sure to send a Skype contact request to the instructor (yayahjb) before that. Be sure to mention MTH1014F13 in the contact request,

The general topic is at:
https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities
In particular do:
https://www.khanacademy.org/math/algebra/quadratics/quadratic_formula/v/using-the-quadratic-formula
https://www.khanacademy.org/math/trigonometry/polynomial_and_rational/quad_formula_tutorial/e/solutions_to_quadratic_equations
https://www.khanacademy.org/math/trigonometry/imaginary_complex_precalc/complex_num_precalc/v/complex-numbers
https://www.khanacademy.org/math/trigonometry/imaginary_complex_precalc/complex_num_precalc/e/the_complex_plane
https://www.khanacademy.org/math/algebra/complex-numbers/complex_numbers/v/complex-roots-from-the-quadratic-formula
https://www.khanacademy.org/math/trigonometry/polynomial_and_rational/quad_formula_tutorial/e/solutions_to_quadratic_equations
https://www.khanacademy.org/math/algebra/exponent-equations/radical_equations/v/solving-radical-equations
https://www.khanacademy.org/math/algebra/exponent-equations/radical_equations/e/radical_equations
https://www.khanacademy.org/math/algebra/linear_inequalities/inequalities/v/solving-inequalities
https://www.khanacademy.org/math/algebra/linear_inequalities/inequalities/e/one_step_inequalities
https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/absolute-value-equations/v/absolute-value-equations
https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/absolute-value-equations/e/absolute_value_equations
https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/absolute-value-equations/v/absolute-value-inequalities

Sullivan 1.1, 1.2, 1.3, 1.4, 1.5, 1.6, 1.7, pp. 85 -- 153
Safier 5, 6, 7, pp 29 -- 53
Tuesday, 17 Sep 2013 Tuesday, 24 Sep 2013
Do Quiz 2 by 24 Sep 2013
3 Important: There will be a group Skype meeting at 8 pm on Thursday, 26 September 2013. If you wish to participate, be sure to send a Skype contact request to the instructor (yayahjb) before that. Be sure to mention MTH1014F13 in the contact request,

We are almost done reviewing material you should have learned earlier. We need to look at geometry, graphs, lines, circles and the idea of one thing varying proportionally with another.

Some good videos and drills are available at: https://www.khanacademy.org/math/trigonometry/graphs/midpoint_and_distance/v/midpoint-formula
and following, including the midpoint formula and distance formula drills
followed by the review of graphing at
https://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie
Be sure to do the drill at https://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/graphing_with_intercepts/e/solving_for_the_x-intercept
and then do
https://www.khanacademy.org/math/trigonometry/conics_precalc/circles-tutorial-precalc/v/conic-sections--intro-to-circles
and the following with drills at:
https://www.khanacademy.org/math/trigonometry/conics_precalc/circles-tutorial-precalc/e/graphing_circles
and
https://www.khanacademy.org/math/algebra/algebra-functions/direct_inverse_variation/v/direct-and-inverse-variation
and following with an important drill at:
https://www.khanacademy.org/math/algebra/algebra-functions/direct_inverse_variation/e/direct_and_inverse_variation

Sullivan 2.1, 2.2, 2.3, 2.4, 2.5, pp. 155 -- 205
Safier 8, pp 54 -- 67
Tuesday, 24 September 2013 Tuesday, 1 October 2013
Do Quiz 3 by 1 October 2013
4 Important: There will be a group Skype meeting at 8 pm on Thursday, 3 October 2013. If you wish to participate, be sure to send a Skype contact request to the instructor (yayahjb) before that. Be sure to mention MTH1014F13 in the contact request,

Now we are ready for the core material for the course, Chapters 3 -- 8 of Sullivan. In this assignment, you will work on Functions, the Graph of a Function, Propoerties of Functions, and more.

Some good videos and drills are available at: https://www.khanacademy.org/math/trigonometry/functions_and_graphs Please be sure to do the following drills while logged into the Khan Academy with me designated as coach, so I can see your progress. To do these drills you will probably need to go back into the videos and the books, and to talk to me.
https://www.khanacademy.org/math/trigonometry/functions_and_graphs/function_introduction/e/functions_1
https://www.khanacademy.org/math/trigonometry/functions_and_graphs/function_introduction/e/functions_2
https://www.khanacademy.org/math/trigonometry/functions_and_graphs/function_introduction/e/functions_3
https://www.khanacademy.org/math/trigonometry/functions_and_graphs/function_introduction/e/domain_of_a_function
https://www.khanacademy.org/math/trigonometry/functions_and_graphs/analyzing_functions/e/even_and_odd_functions
https://www.khanacademy.org/math/trigonometry/functions_and_graphs/analyzing_functions/e/shifting_and_reflecting_functions
https://www.khanacademy.org/math/trigonometry/functions_and_graphs/domain_range/e/domain_of_a_function
https://www.khanacademy.org/math/trigonometry/functions_and_graphs/domain_range/e/range_of_a_function
https://www.khanacademy.org/math/trigonometry/functions_and_graphs/domain_range/e/domain_and_range_0.5
https://www.khanacademy.org/math/trigonometry/functions_and_graphs/fucntion_inverses/e/inverses_of_functions

Sullivan 3.1, 3.2, 3.3, 3.4, 3.5, 3.6 pp. 207 -- 276
Safier 9, 10, 11 pp 68 -- 94
Tuesday, 1 October 2013 Tuesday, 8 October 2013
Do Quiz 4 by 8 October 2013
5 Important: There will be a group Skype meeting at 8 pm on Thursday, 10 October 2013. If you wish to participate, be sure to send a Skype contact request to the instructor (yayahjb) before that. Be sure to mention MTH1014F13 in the contact request,

The next chapter, Chapter 4, on Linear and Quadratic Functions is very important. Study it carefully and contact the instructor with questions. The five chapters, R, 1, 2, 3, and 4 are what you will be responsible for for the midterm, which will be the assignment after this one. It is very important that you practice using Skype to contact the instructor, both to ensure your are prepared for the content of the midterm and to practice the mechanics of using Skype, that will be used to give you the midterm.

Some good videos and drills are available at: https://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/graphing_solutions2/v/recognizing-linear-functions
https://www.khanacademy.org/math/algebra/quadratics/quadratic_formula/v/application-problem-with-quadratic-formula
https://www.khanacademy.org/math/algebra/quadratics/quadratic_inequalities/v/quadratic-inequalities
https://www.khanacademy.org/math/algebra/quadratics/quadratic_inequalities/v/quadratic-inequalities--visual-explanation
Please be sure to do the following drills while logged into the Khan Academy with me designated as coach, so I can see your progress. To do these drills you will probably need to go back into the videos and the books, and to talk to me.
https://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/graphing_solutions2/e/interpreting_linear_equations
https://www.khanacademy.org/math/algebra/quadratics/quadratic_formula/e/quadratic_equation

Sullivan 4.1, 4.2, 4.3, 4.4, 4.5 pp. 277 -- 322
Safier 10, 12 pp 79 -- 86, 95 -- 103
Tuesday, 8 October 2013 Tuesday, 15 October 2013
Do Quiz 5 by 15 October 2013
There will be a Skype meeting on Thursday, 17 October 2013 from 8 to 9 pm to prepare for the midterm. The midterm for this course will be on Thursday, 24 October 2013 from 8 to 9 pm. If you will not be available for the Midterm, you must schedule an alternate time with the instructor prior to the schuduled time. In any case the midterm will be supervised via Skype, so it is essential that you each verify that you have working Skype access with a web cam and a good internet connection well before the midterm. Please contact me via Skype (yayahjb) as soon as possible if you have any problems in being able to take the midterm as scheduled.

In addition you may make an appointment to take the midterm face-to-face on Wednesday 23 October 2013 at 1 pm in KSC103 on the Oakdale campus.

Please send email no later than Thursday, 17 October 2013 as to which date you will be taking the midterm or to deal with any conflicts you may have.

6 Important: There will be a group Skype meeting at 8 pm on Thursday, 31 October 2013. If you wish to participate, be sure to send a Skype contact request to the instructor (yayahjb) before that. Be sure to mention MTH1014F13 in the contact request,

This is a double assignment on two topics: Chapter 5 on Polynomial and Rational Functions, and Chapter 6 on Exponential and Logarithmic Functions.

Some good videos and drills are available at:
https://www.khanacademy.org/math/trigonometry/polynomial_and_rational
https://www.khanacademy.org/math/trigonometry/exponential_and_logarithmic_func
Be sure to do all the linked videos and drills on both pages.

Please be sure to do the following drills while logged into the Khan Academy with me designated as coach, so I can see your progress. To do these drills you will probably need to go back into the videos and the books, and to talk to me.
https://www.khanacademy.org/math/trigonometry/polynomial_and_rational/polynomial_and_rational/e

There are no drills on the exponential and logarithmic functions in the Khan Academy yet, so it is very important that you contact me with questions on this topic and prepare yourself for difficult questions on the next quiz.

Sullivan 5.1, 5.2, 5.3, 5.4, 5.5, 5.6, 6.1, 6.2, 6.3, 6.4, 6.5, 6.6, 6.7, 6.8, 6.9 pp. 323 -- 502
Safier 14, 15, 16, 17, 18, 19, pp 114 -- 175
Thurs, 24 October 2013 Wednesday, 6 November 2013
Do Quiz 6 on or before 6 November 2013.
7 Important: There will be a group Skype meeting at 8 pm on Thursday, 7 November 2013. If you wish to participate, be sure to send a Skype contact request to the instructor (yayahjb) before that. Be sure to mention MTH1014F13 in the contact request,

Hopefully, you have done the prior readings and drills, because we will now move on to trigonometric functions. This topic will need your full attention.

Some good videos and drills are available at:
https://www.khanacademy.org/math/trigonometry/basic-trigonometry
Be sure to do all the linked videos and drills.

Please be sure to do the following drills while logged into the Khan Academy with me designated as coach, so I can see your progress. To do these drills you may need to go back into the videos and the books, and to talk to me.
https://www.khanacademy.org/math/trigonometry/basic-trigonometry/basic_trig_ratios/e/trigonometry_0.5
https://www.khanacademy.org/math/trigonometry/basic-trigonometry/basic_trig_ratios/e/trigonometry_1
https://www.khanacademy.org/math/trigonometry/basic-trigonometry/basic_trig_ratios/e/trigonometry_1.5
https://www.khanacademy.org/math/trigonometry/basic-trigonometry/basic_trig_ratios/e/trigonometry_2
https://www.khanacademy.org/math/trigonometry/basic-trigonometry/basic_trig_ratios/e/pythagorean_theorem_2

Sullivan 7.1, 7.2, 7.3, 7.4, 7.5, 7.6, 7.7, 7.8, 6.3 pp. 503 -- 600
Safier 20, 21, 22, 24 pp. 176 -- 210, 220 -- 229
Wednesday, 6 November 2013 Tuesday, 12 November 2013
Do Quiz 7 on or before 12 November 2013.
8 Important: There will be a group Skype meeting at 8 pm on Thursday, 14 November 2013. If you wish to participate, be sure to send a Skype contact request to the instructor (yayahjb) before that. Be sure to mention MTH1014F13 in the contact request,

Trigonometry continues with what is called Analytic Trigonometry.

Some good videos and drills are available at:
https://www.khanacademy.org/math/trigonometry/basic-trigonometry/inverse_trig_functions/v/inverse-trig-functions--arcsin
https://www.khanacademy.org/math/trigonometry/basic-trigonometry/inverse_trig_functions/v/inverse-trig-functions--arccos
https://www.khanacademy.org/math/trigonometry/basic-trigonometry/inverse_trig_functions/v/inverse-trig-functions--arctan
https://www.khanacademy.org/math/trigonometry/basic-trigonometry/inverse_trig_functions/v/example---calculator-to-evaluate-inverse-trig-function
https://www.khanacademy.org/math/trigonometry/basic-trigonometry/inverse_trig_functions/e/inverse_trig_functions
https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry
Be sure to do all the linked videos and drills.

Please be sure to do the following drills while logged into the Khan Academy with me designated as coach, so I can see your progress. To do these drills you will probably need to go back into the videos and the books, and to talk to me.
https://www.khanacademy.org/math/trigonometry/basic-trigonometry/inverse_trig_functions/e/inverse_trig_functions
https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/trig_iden_tutorial/v/trigonometric-identities
https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/trig_iden_tutorial/e/pythagorean_identities
https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/trig_iden_tutorial/v/proof--sin-a-b------cos-a--sin-b-----sin-a--cos-b
https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/trig_iden_tutorial/v/proof--cos-a-b-----cos-a--cos-b---sin-a--sin-b
https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/trig_iden_tutorial/v/trig-identities-part-2--parr-4-if-you-watch-the-proofs
https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/trig_iden_tutorial/v/trig-identies-part-3--part-5-if-you-watch-the-proofs
https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/trig_iden_tutorial/e/trig_addition_identities

Sullivan 8.1, 8.2, 8.3, 8.4, 8.5, 8.6, 8.7, 8.8 pp. 601 -- 667
Safier 23, 25 pp. 211 -- 219, 230 -- 239,
Fri, 12 November 2013 Fri, 19 November 2013
Do Quiz 8 on or before 19 November 2013.
9 We have now completed the core material for this course. There are two ways to successfully complete this course: either learn the material up to this point very well, or, if you wish, keep going and learn the material past this point, either to help you better understand the basic material and do better in the final on that, or as extra credit to help make up for difficulties you may have with the basic material. We will specifically assign and highly recommend the material on Chapters 9 and 10 on Applications of the Trigonometric Functions and on Polar Coordinates; Vectors, but feel free to choose any 2 or more of chapters 9 through 14 of Sullivan to work on instead.

If you intend to continue in math, doing all of them is highly recommended. To help you demonstrate your mastery of the material, you need to do the relevant Khan Academy drills, and to take a quiz. The quizzes for chapters 9 and 10 are provided here. If you choose alternate or additional chapters, contact the instructor for the approrpriate quiz links.

Some good videos and drills are available at:
https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/trig_iden_tutorial/v/law-of-cosines
https://www.khanacademy.org/math/geometry/basic-geometry/perimeter_area_tutorial/v/perimeter-and-area-basics
https://www.khanacademy.org/math/trigonometry/parametric_equations/polar_coor/v/polar-coordinates-1
https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/vectors/v/linear-algebra--introduction-to-vectors

Be sure to do all the linked videos and drills.

Please be sure to do the following drills while logged into the Khan Academy with me designated as coach, so I can see your progress. To do these drills you will probably need to go back into the videos and the books, and to talk to me.
https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/trig_iden_tutorial/e/law_of_cosines
https://www.khanacademy.org/math/calculus/sequences_series_approx_calc/maclaurin_taylor/e/complex_number_polar_form_intuition
https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/vectors/e/adding_vectors

Sullivan 9.1, 9.2, 9.3, 9.4, 9.5, 10.1, 10.2, 10.3, 10.4, 10.5 pp. 659 -- 770
Safier 26, 27, 28 pp 240-269
Tuesday, 26 November 2013 Tuesday, 3 December 2013
Quiz 9 and Quiz 10 are available now. Contact the instructor no later than Sunday 1 December if you need a quiz for any of the other chapters to display proficiency in those chapters.
The 2-hour final for this course will be taken via Skype in two 1-hour parts, one at 8 pm on Thursday 5 December 2013 and one at 8 pm on Thursday 12 December 2013. If you are unable to take the final on that schedule, you must contact the instructor to make alternate arrangement no later than Thursday, 21 November 2013.

Important Half the value of the final will be for successfully doing a selected set of the drills from the Khan Academy for chapters 3 -- 8. You are urged to work on those drills in advance of taking the final, both to help prepare you and to ensure full credit on the final.

Updated 18 November 2013.
yayahjb@gmail.com