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THEORETICAL PHYSICIST
Derek J. Daniel BSc Hons PhD
Assistant Professor of Physics & Mathematics
​
University of The Bahamas-North
School of Mathematics, Physics and Technology, Room A204
​
Office Phone: +1-242-688 5929
Email: derek.daniel@ub.edu.bs
This monograph presents new classes of exact solutions for three formidable and unsolvable problems in theoretical physics. The simple pendulum, the Markovian birth-and-death equations, and the simple harmonic oscillator are among the problems covered.
MATH 163
STUDENTS
CORNER
STEP 1
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Download your online instructions
STEP 2
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Download your Syllabus & Textbook
Course Instructions FALL/SPRING 2023-2024
Syllabus
Textbook
COURSE CONTENT
Week 1
Begins:
Mon - 8 January, 2024
I. Functions and Linear Models
A. Functions
i. Terminology and notation,
independent and dependent
variables, domain and range
ii. Numerically specified
iii. Algebraically defined
iv. Graphically specified
v. Piecewise-defined
Lecture 1.1
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Video 1.1
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Video 1.3
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Video 1.2
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Video 1.4
I. Functions and Linear Models
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B. Linear functions
i. Algebraically, numerically and
graphically defined
ii. Slopes of lines
iii. Slope and y-intercept from a
table of values, a linear graph
and equation
iv. Slope-intercept equation of a
line
v. Graphing lines
Lecture 1.2
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Video 1.5
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Video 1.6
Lecture 1.3
STUDENT'S REVIEW
How well did you study this week?
Study the powerpoints in the document below.
If you have understood and know how to solve the problems in these powerpoints, then you have succeeded.
Otherwise, go back to your lecture notes, and try again!!
Powerpoints - Part 1
Week 2
Begins:
Mon - 15 January, 2024
I. Functions and Linear Models
C. Linear models
i. Cost. revenue, and profit
functions; break-even point
Lecture 2.1
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Video 2.1
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Video 2.2
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Video 2.3
I. Functions and Linear Models
C. Linear models
ii. Demand and supply functions;
equilibrium point
iii. Change-over-time functions
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Lecture 2.2
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Video 2.4
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Video 2.5
QUIZ 1 is scheduled in Week 2 on Wednesday during class time. Duration of Quiz is 15 mins.
STUDENT'S REVIEW
How well did you study this week?
Study the powerpoints in the document below.
If you have understood and know how to solve the problems in these powerpoints, then you have succeeded.
Otherwise, go back to your lecture notes, and try again!!
Powerpoints - Part 2
Week 3
Begins:
Mon - 22 January, 2024
I. Functions and Linear Models
D. Linear regression
i. Sum-of-squares error (SSE) to
compare linear models
Lecture 3.1
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Video 3.1
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Video 3.2
Lecture 3.2
I. Functions and Linear Models
D. Linear regression
ii. Scatter plot and regression
line
Lecture 3.3
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Video 3.3
Lecture 3.3
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Video 3.4
STUDENT'S REVIEW
How well did you study this week?
Study the powerpoints in the document below.
If you have understood and know how to solve the problems in these powerpoints, then you have succeeded.
Otherwise, go back to your lecture notes, and try again!!
Powerpoints - Part 3
Assignment 1 issued out in Week 2 in Moodle and due in Week 4.
Week 4
Begins:
Mon - 29 January, 2024
II. Systems of Linear Equations
and Matrices
A. Graphical solution
B. Algebraic solution methods
i. Elimination
ii. Substitution
Assignment 1 is now due in Moodle in Week 4.
II. Systems of Linear Equations
and Matrices
A. Graphical solution
B. Algebraic solution methods
i. Elimination
ii. Substitution
STUDENT'S REVIEW
How well did you study this week?
Study the powerpoints in the document below.
If you have understood and know how to solve the problems in these powerpoints, then you have succeeded.
Otherwise, go back to your lecture notes, and try again!!
Lecture 4.1
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Video 4.1
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Video 4.2
Lecture 4.2
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Video 4.3
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Video 4.4
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Video 4.5
Powerpoints - Part 2.1
Week 5
II. Systems of Linear Equations
and Matrices
C. Augmented matrix solution
i. Elementary row operations
and row reduction, reduced
row echelon form
Begins:
Mon - 5 February, 2024
II. Systems of Linear Equations
and Matrices
D. Applications of Systems of
Linear Equations
i. How to use Graphing
calculator Technology
Lecture 5.1
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Video 5.1
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Video 5.2
Lecture 5.3
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Video 5.5
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Video 5.6
STUDENT'S REVIEW
How well did you study this week?
Study the powerpoints in the document below.
If you have understood and know how to solve the problems in these powerpoints, then you have succeeded.
Otherwise, go back to your lecture notes, and try again!!
Lecture 5.2
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Video 5.3
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Video 5.4
QUIZ 2 is scheduled in Week 5 on Wednesday during class time. Duration of Quiz is 15 mins.
Powerpoints - Part 2.2
Assignment 2 issued out in Week 5
in Moodle and due in Week 6.
Week 6
Begins:
Mon - 12 February, 2024
II. Systems of Linear Equations
and Matrices
D. Matrix operations and
applications
i. Terminology, notation, types
of matrices
ii. Addition, subtraction,
transposition, scalar
multiplication
II. Systems of Linear Equations
and Matrices
D. Matrix operations and
applications
iii. Matrix multiplication
II. Systems of Linear Equations
and Matrices
D. Matrix operations and
applications
iv. Matrix inversion
v. Solution of a system of
linear equations using the
inverse of the coefficient
matrix
Lecture 6.1
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Video 6.1
Lecture 6.2
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Video 6.2
Lecture 6.3
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Video 6.3
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Video 6.4
Lecture 6.4
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Video 6.5
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Video 6.6
Lecture 6.5
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Video 6.7
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Video 6.8
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Video 6.9
Lecture 6.6
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Video 6.10
Week 7
Begins:
Mon - 19 February, 2024
Ill. Linear Programming
A. Graphical solution of systems
of linear inequalities in two
variables
B. The Fundamental Theorem
C. Construction of LP problems
i. Objective function
ii. Linear constraints
D. Graphical solutions of LP
problems
Ill. Linear Programming
B. The Fundamental Theorem
C. Construction of LP problems
i. Objective function
ii. Linear constraints
D. Graphical solutions of LP
problems
Lecture 7.1
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Video 7.1
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Video 7.2
Lecture 7.2
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Video 7.4
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Video 7.2
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Video 7.3
QUIZ 3 is scheduled in Week 7 on Wednesday during class time. Duration of Quiz is 15 mins.
STUDENT'S REVIEW
How well did you study this week?
Study the powerpoints in the document below.
If you have understood and know how to solve the problems in these powerpoints, then you have succeeded.
Otherwise, go back to your lecture notes, and try again!!
Powerpoints - Part 4.1
STUDENT'S REVIEW
How well did you study this week?
Study the powerpoints in the document below.
If you have understood and know how to solve the problems in these powerpoints, then you have succeeded.
Otherwise, go back to your lecture notes, and try again!!
Powerpoints - Part 3.1
Assignment 2 is now due in Moodle
in Week 6.
Assignment 3 issued out in Week 7
in Moodle and due in Week 9.
Week 8
Begins:
Mon - 26 February, 2024
Mid-Semester Break
Thursday - 29 February, 2024 -to- Tuesday- 5 March, 2024
Ill. Linear Programming
D. Graphical solutions of LP
problems: Applications
Ill. Linear Programming
D. Graphical solutions of LP
problems: Applications
Lecture 8.1
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Video 8.1
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Video 8.2
Lecture 8.1B
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Video 8.3
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Video 8.4
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Video 8.5
Week 9
Begins:
Mon - 4 March, 2024
IV. Sets and Counting
A. Sets and operations
i. Set notation and types of sets
ii. Union, intersection,
complement, Cartesian
product
Lecture 9.1
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Video 9.1
Watch
Video 9.2
Assignment 3 is now due in Moodle
in Week 9.
IV. Sets and Counting
A. Sets and operations
iii. Venn diagrams to represent
set relations and operations
iv. Survey problems
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Assignment 4 issued out in Week 9
in Moodle and due in Week 11.
Watch
Video 9.3
Watch
Video 9.4
Week 10
Begins:
Mon - 11 March, 2024
IV. Sets and Counting
B. Cardinality
i. Cardinal number of a set
IV. Sets and Counting
B. Cardinality
ii. Union, intersection,
complement, Cartesian
product
Lecture 9.2
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Video 9.5
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Video 9.6
Lecture 9.3
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Video 9.7
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Video 9.8
STUDENT'S REVIEW
How well did you study this week?
Study the powerpoints in the document below.
If you have understood and know how to solve the problems in these powerpoints, then you have succeeded.
Otherwise, go back to your lecture notes, and try again!!
Powerpoints - Part 5.1
Week 11
IV. Sets and Counting
C. Basic Counting Principles
i. Addition
ii. Multiplication
Begins:
Mon - 18 March, 2024
IV. Sets and Counting
D. Permutations and combinations
i. n items arranged r at a time
ii. n items selected r at a time
Lecture 9.4
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Video 9.9
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Video 9.10
Lecture 9.5
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Video 9.11
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Video 9.12
QUIZ 4 is scheduled in Week 11 on Thursday during class time. Duration of Quiz is 15 mins.
Watch
Video 9.13
STUDENT'S REVIEW
How well did you study this week?
Study the powerpoints in the document below.
If you have understood and know how to solve the problems in these powerpoints, then you have succeeded.
Otherwise, go back to your lecture notes, and try again!!
Powerpoints - Part 5.2
Week 12
Begins:
Mon - 25 March, 2024
V. Probability
A. Basic concepts
i. Experiments, outcomes,
sample spaces, events
ii. Complement, union,
intersection of events and
mutually exclusive events
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V. Probability
B. Empirical and Theoretical
Probability
i. Experimental
a. Relative frequency or
estimated probability
b. Properties
ii. Theoretical
a. Equally likely outcomes
b. Properties
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Lecture 10.1
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Video 10.1
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Video 10.2
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Video 10.3
Lecture 10.2
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Video 10.4
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Video 10.5
MATH 163 - UNIT TEST 2​
Thursday - 4 Nov., 2020
Time: 4.00 PM - 5.15 PM
Test 2 is in MOODLE
Week 13
Begins:
Mon - 1 April, 2024
V. Probability
B. Empirical and Theoretical
Probability
ii. Theoretical
a. Equally likely outcomes
b. Properties
Assignment 4 is now due in Moodle
in Week 11.
V. Probability
C. Compound Events
i. Union, intersection,
complement of events and mutually exclusive events
QUIZ 5 is scheduled in Week 13 on Thursday during class time. Duration of Quiz is 15 mins.
Lecture 10.3
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Video 10.6
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Video 10.7
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Video 10.8
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Video 10.9
Assignment 5 issued out in Week 13
in Moodle and due in Week 14.
Week 14
V. Probability
C. Compound Events
ii. Conditional probability
iii. Independent events
iv. Tree diagrams*
a. Multiplication rule
b. Addition rule
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* Time permitting
V. Probability
C. Compound Events
ii. Conditional probability
iii. Independent events
iv. Tree diagrams*
a. Multiplication rule
b. Addition rule
D. Bayes' Theorem & Applications
* Time permitting
STUDENT'S REVIEW
How well did you study this week?
Study the powerpoints in the document below.
If you have understood and know how to solve the problems in these powerpoints, then you have succeeded.
Otherwise, go back to your lecture notes, and try again!!
Begins:
Mon - 8 April, 2024
Lecture 10.4
Watch
Video 10.9
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Video 10.10
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Video 10. 11
Lecture 10.5
Lecture 10.6
Watch
Video 10.12
Watch
Video 10.13
Powerpoints - Part 5.3
Assignment 5 is now due in Moodle
in Week 14.
Week 15
Begins:
Mon - 15 April, 2024
ANNOUNCEMENT
- END-OF-COURSE-
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Students enter review week and period of FINAL EXAMINATIONS for MATH 163.
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