MATH 204 Syllabus, Spring 2014

American University of Beirut Faculty of arts and Sciences Mathematics Department Summer 2013-2014 Lectures: Lecture 1: Sections: 1 MTWRF: 10:00 – 11:00 Bliss 105 Mrs. Maha Itani- Hatab (Bliss, email: mi01@aub.edu.lb), Office Hours: By appointment. Lecture 2 : Sections: 2 MTWRF: 11:15 – 12:15 Bliss 105 Mrs. Maha Itani- Hatab (Bliss, email: mi01@aub.edu.lb), Office Hours: By appointment. Lecture 3 : Sections: 3 MTWRF: 8:45 – 9:45 Bliss 203 Ms Joumana Tannous (Bliss – Room 104 A, email: jt12@aub.edu.lb), Office Hours: MTWRF 8:30 – 8:45 Number and Title of the Course : MATH 204, Mathematics for Social Sciences II (3 credits) Course Objectives At the end of the course, students are expected to:  Apply operations on matrices and use matrix reduction to solve a linear system.  Find the inverse of a matrix using elementary row operations or the determinant.  Apply the fundamentals of set operations, counting methods, basic notions of probability, and the computations of probabilities for selected statistical environments.  Identify certain probability distributions (such as binomial and normal) and be able to fit real life situations to these models.  Compute derivatives and integrals for continuous functions  Use algebraic techniques such as substitution, partial fractions decomposition, integration by parts to evaluate integrals  Use the integrals to calculate the area of a region.  Solve simple differential equations and initial value problems.  Apply some numerical methods of approximating definite integrals (such as the rectangle, trapezoidal and Simpson’s rules).  Compute partial derivatives of functions of several variables and apply the second derivative test for a function of two variables to determine relative maxima, relative minima and saddle point. Resources Available to Students Textbook : Introductory Mathematics Analysis for Business, Economics, and Life and Social Sciences, by Ernest F. Haeussler , Richard S. Paul, Richard J. Wood , Thirteenth Edition. Grade Distribution  Attendance …………………………….…...5 %  Short Quizes………………..….……….… 20 %  Mid Term……………………………….….35 %  Final Exam…………………………..…….40 % Course Policy :  The grade for an unexcused missed Mid Term will be a zero. However, upon presenting a valid excuse within one week of the Mid Term date, and after taking the approval of the course instructor and the course coordinator, a makeup will be done.  Regular attendance is expected.  The university policy regarding incomplete work and other issues will be followed. Check the AUB catalogue for details.  Students are responsible for all the material presented in class, including announcements about course procedure.  All announcements, extra sheets, syllabus… will be posted on Moodle.  Only Basic Calculators are allowed (Graphic Calculators and programmable Calculators are not allowed).  Last day for withdrawal from courses: Friday, June, 27th, 2014. Week Chapter Sec. Suggested Problems May 26 – May 30 Chapter 6 Matrix Algebra 6.1 6.2 6.3 Extra 6.6 P: 245: # 2, 4, 6, 10, 12, 16, 18, 22, 24, 26. P: 251: # 2, 4, 6, 7, 8. 12, 18, 22, 24, 30, 32, 35, 38, 40 P: 262: # 2, 6, 9, 13, 14, 16, 18, 20, 22, 24, 25, 27, 28, 35, 40, 42, 46, 54, 56, 60 . P: 379: # 4, 6, 8, 10, 14, 20, 25, 30, 48, 54, 60, 66 P: 283: # 4, 9, 10, 11, 12, 18, 20, 22, 28, 36, 38, 39, 40 Jun 2 – Jun 6 Jun 9 – Jun 18 Chapter 8 Introduction to Probability and Statistics 8.1 8.2 8.3 8.4 8.5 8.6 P: 363: 3, 4, 6, 8, 10, 21, 22, 24, 26, 28, 29, 30, 32, 36 P: 373: 5, 11, 12, 15, 16, 18, 20, 22, 24, 26, 30, 34, 37 P: 381: 3, 4, 7, 10, 13, 14, 15, 16, 17, 20, 23, 26, 28 P: 393: 2, 4, 5, 6, 8, 9, 10, 13, 15,16, 20, 26, 27, 28, 32 P: 404: 2, 3, 6, 8, 11, 12, 15, 30, 36, 42, 47 P: 414: 2, 4, 6, 8, 10, 14, 36. Jun 18 – Jun 19 Chapter 9 Additional Topics in Probability 9.2 P:444: 2, 5, 9, 10, 11, 12, 13, 18, 20 Jun 20 – Jun 24 June 27th,2014 Last day for Withdraw Chapter 16 Continuous Random Variables 16.2 P: 741: 2, 3, 4, 5, 6, 7, 8, 10(a, b), 14, 15, 16, 18, 22 Mid Term Jun 25 – Jul 1st Chapter 11 Differentiation Chapter 12 Additional Differentiation Topics 11.2 11.4 11.5 12.1 12.2 12.5 12.7 P:507: 10, 14, 22, 34, 38, 48, 54, 74, 76, 80 P: 525: 10, 14, 19, 24, 26, 36, 40, 46, 50, 54 P: 532: 4, 6, 10, 16, 24, 28, 34, 40, 42, 48, 56, 60 P: 544: 6, 12, 18, 22, 24, 26, 30, 37, 38, 40, 42, 46 P:549: 8, 10, 14, 16, 18, 20, 24, 25, 26, 27, 28, 30 P: 564: 6, 8, 12, 20, 22, 24 P: 571: 8, 10, 12, 18, 22 Jul 2 – Jul 5 Chapter 17 Multivariable Calculus 17.1 17.4 17.6 P:753: 2, 6, 14, 16, 18, 20, 30, 34, 35 P:764: 2, 4, 6, 8, 12 P:775: 2, 4, 8, 10, 12, 14, 20 Jul 6 – Jul 11 Chapter 14 Integration Chapter 15 Methods of Integration 14.1 14.2 14.3 14.4 14.5 14.7 14.8 14.9 15.1 15.2 P: 630: 4, 10, P: 636: 4, 6, 8, 10, 13, 22, 27, 30, 42, 46, 50, 51 P:641: 3, 4, 6 P: 646: 6, 8, 10, 14, 18, 22, 26, 30, 44, 49, 50, 60, 62, 63, 75, 78, 79, 80 P: 651: 2, 6, 7, 15, 22, 27, 28, 34, 40, 44, 48, 50, 52, 53 P: 665: 8, 12, 20, 30, 31, 36, 40, 43, 48 P: 671: 1, 2 P: 678: 2, 4, 11, 13, 22, 24, 35, 36, 37, 41, 43, 50, 51, 54, 57 P: 693: 6, 7, 8, 12, 13, 14, 16, 17, 24, 26 P: 699: 10, 12, 14 Final Exam