[ { "page": 1, "items": [ { "page": 1, "type": "TITLE", "location": { "l": 211.68, "t": 672.48, "r": 399.84, "b": 629.04 }, "text": "STARK STATE COLLEGE\nGENERAL SYLLABUS", "reading_order": 0, "level": 1 }, { "page": 1, "type": "TITLE", "location": { "l": 33.84, "t": 590.64, "r": 181.44, "b": 574.08 }, "text": "Course Information", "reading_order": 1, "level": 2 }, { "page": 1, "type": "TEXT", "location": { "l": 33.84, "t": 571.2, "r": 211.68, "b": 541.2 }, "text": "Course Name: Precalculus\nCourse Number: MTH135", "reading_order": 2 }, { "page": 1, "type": "TITLE", "location": { "l": 34.32, "t": 515.28, "r": 179.52, "b": 498 }, "text": "Required Materials", "reading_order": 3, "level": 2 }, { "page": 1, "type": "TEXT", "location": { "l": 33.84, "t": 495.36, "r": 566.64, "b": 448.32 }, "text": "Textbook(s): Precalculus- A Right Triangle Approach, 5th edition; Ratti, McWaters, Skrzypek, Bernards, & Fresh; Pearson, 2023\nISBN (Instant Access): 9780137519217", "reading_order": 4 }, { "page": 1, "type": "TEXT", "location": { "l": 34.08, "t": 433.2, "r": 188.16, "b": 419.04 }, "text": "Required Readings: None", "reading_order": 5 }, { "page": 1, "type": "TEXT", "location": { "l": 33.36, "t": 402, "r": 550.08, "b": 356.64 }, "text": "Additional Materials: A graphing calculator is required. The math department supports the TI 83 or 84. The instructor reserves the right to limit use of the graphing calculator for specific topics on tests and quizzes. Specific models prohibited: Casio CFX-9970G, Casio Algebra fx 2.0, Hewlett-Packard HP40G, TI-89/92 and NSpire", "reading_order": 6 }, { "page": 1, "type": "TITLE", "location": { "l": 33.84, "t": 328.08, "r": 222, "b": 311.28 }, "text": "Course Outline/Calendar", "reading_order": 7, "level": 2 }, { "page": 1, "type": "TEXT", "location": { "l": 33.36, "t": 307.44, "r": 549.36, "b": 277.92 }, "text": "The date of coverage and order of coverage may be modified based on the faculty member and events beyond the control of faculty members that interfere with class times and teaching.", "reading_order": 8 }, { "page": 1, "type": "TITLE", "location": { "l": 34.8, "t": 263.52, "r": 119.04, "b": 251.28 }, "text": "16 Week Calendar", "reading_order": 9, "level": 3 }, { "page": 1, "type": "TABLE", "location": { "l": 34.56, "t": 252, "r": 575.04, "b": 72 }, "text": "
WeekChapter/Topic/Lab
1Ch 2 Graphs and Functions• Symmetries of graphs & equation of a circle• Relations and functions• Properties of functions• A library of common functions• Transformations of functions
2Ch 2 Graphs and Functions• Combining functions; composite functions• Inverse functionsCh 3 Polynomial and Rational Functions• Polynomial/Power functions and end behavior• Zeros and turning points• Graphing polynomial functions
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WeekChapter/Topic/Lab
Test: Chapter 2
3Ch 3 Long division and synthetic division\n• Remainder and Factor Theorems\n• Descartes’ Rule of Signs\n• Zeros of polynomials: Bounds on real zeros\n• Zeros of polynomials: Conjugate pairs theorem
4Ch 3 Polynomial and Rational Functions\n• Find the domain of a rational function.\n• Analyze graphs of rational functions.\n• Find horizontal and vertical asymptotes.\n• Graph rational functions\n• Solve quadratic and polynomial inequalities.\n• Solve rational inequalities.\n• Test: Chapter 3
5Ch 4 Exponential and Logarithmic Functions\n• Exponential and Logarithmic functions\n• The natural exponential function\n• Properties of logarithms\n• Exponential and logarithmic equations\n• Rules of Logarithms\n• Test: Chapter 4
6Ch 10 The Conic Sections\n• The parabola and its applications\n• The ellipse and its applications\n• The Hyperbola and its applications\n• Test: Chapter 10
7Ch 11 Further Topics in Algebra\n• Sequences and series\n• Arithmetic and Geometric sequences and series
8Ch 11 Sequences and Series\n• Test: Chapter 11\n• Exam: Midterm
9Ch 5 Trig Functions\n• Angles and angle measure\n• Right angle trigonometry\n• Trigonometric functions; the unit circle\n• Trigonometric functions of any angle;\n• The unit circle\n• Graphs of the trigonometric functions\n• Test: Chapter 5
10Ch 6 Analytic Trigonometry\n• Inverse trigonometric functions; Review\n• Trigonometric identities and equations
11Ch 6 Analytic Trigonometry\n• Sum and difference formulas\n• Double and half-angle formulas\n• Product to sum and sum to product formulas\n• Trigonometry equations\n• Test: Chapter 6
12Ch 7 Applications of Trigonometric Functions\n• The Law of Sines
13Ch 7 Applications of Trigonometric Functions
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"text": "Test: Chapter 2", "html_text": "Test: Chapter 2", "links": [], "cell_header_index": 1, "rowspan": 1, "colspan": 1, "column_header": false, "row_header": false, "placeholder": false, "ref": "#/tables/0" } ], "ref": "#/tables/0" }, { "row_index": 2, "location": [ 34.56, 598.0615, 576.24, 651.0277 ], "cells": [ { "location": [ 34.56, 598.0615, 305.4, 651.0277 ], "text": "3", "html_text": "3", "links": [], "cell_header_index": 0, "rowspan": 1, "colspan": 1, "column_header": false, "row_header": false, "placeholder": false, "ref": "#/tables/0" }, { "location": [ 305.4, 598.0615, 576.24, 651.0277 ], "text": "Ch 3 Long division and synthetic division\n• Remainder and Factor Theorems\n• Descartes’ Rule of Signs\n• Zeros of polynomials: Bounds on real zeros\n• Zeros of polynomials: Conjugate pairs theorem", "html_text": "Ch 3 Long division and synthetic division\n• Remainder and Factor Theorems\n• Descartes’ Rule of Signs\n• Zeros of polynomials: Bounds on real zeros\n• Zeros of polynomials: Conjugate pairs theorem", "links": [], "cell_header_index": 1, "rowspan": 1, "colspan": 1, "column_header": false, "row_header": false, "placeholder": false, "ref": "#/tables/0" } ], "ref": "#/tables/0" }, { "row_index": 3, "location": [ 34.56, 545.0954, 576.24, 598.0615 ], "cells": [ { "location": [ 34.56, 545.0954, 305.4, 598.0615 ], "text": "4", "html_text": "4", "links": [], "cell_header_index": 0, "rowspan": 1, "colspan": 1, "column_header": false, "row_header": false, "placeholder": false, "ref": "#/tables/0" }, { "location": [ 305.4, 545.0954, 576.24, 598.0615 ], "text": "Ch 3 Polynomial and Rational Functions\n• Find the domain of a rational function.\n• Analyze graphs of rational functions.\n• Find horizontal and vertical asymptotes.\n• Graph rational functions\n• Solve quadratic and polynomial inequalities.\n• Solve rational inequalities.\n• Test: Chapter 3", "html_text": "Ch 3 Polynomial and Rational Functions\n• Find the domain of a rational function.\n• Analyze graphs of rational functions.\n• Find horizontal and vertical asymptotes.\n• Graph rational functions\n• Solve quadratic and polynomial inequalities.\n• Solve rational inequalities.\n• Test: Chapter 3", "links": [], "cell_header_index": 1, "rowspan": 1, "colspan": 1, "column_header": false, "row_header": false, "placeholder": false, "ref": "#/tables/0" } ], "ref": "#/tables/0" }, { "row_index": 4, "location": [ 34.56, 492.1292, 576.24, 545.0954 ], "cells": [ { "location": [ 34.56, 492.1292, 305.4, 545.0954 ], "text": "5", "html_text": "5", "links": [], "cell_header_index": 0, "rowspan": 1, "colspan": 1, "column_header": false, "row_header": false, "placeholder": false, "ref": "#/tables/0" }, { "location": [ 305.4, 492.1292, 576.24, 545.0954 ], "text": "Ch 4 Exponential and Logarithmic Functions\n• Exponential and Logarithmic functions\n• The natural exponential function\n• Properties of logarithms\n• Exponential and logarithmic equations\n• Rules of Logarithms\n• Test: Chapter 4", "html_text": "Ch 4 Exponential and Logarithmic Functions\n• Exponential and Logarithmic functions\n• The natural exponential function\n• Properties of logarithms\n• Exponential and logarithmic equations\n• Rules of Logarithms\n• Test: Chapter 4", "links": [], "cell_header_index": 1, "rowspan": 1, "colspan": 1, "column_header": false, "row_header": false, "placeholder": false, "ref": "#/tables/0" } ], "ref": "#/tables/0" }, { "row_index": 5, "location": [ 34.56, 439.1631, 576.24, 492.1292 ], "cells": [ { "location": [ 34.56, 439.1631, 305.4, 492.1292 ], "text": "6", "html_text": "6", "links": [], "cell_header_index": 0, "rowspan": 1, "colspan": 1, "column_header": false, "row_header": false, "placeholder": false, "ref": "#/tables/0" }, { "location": [ 305.4, 439.1631, 576.24, 492.1292 ], "text": "Ch 10 The Conic Sections\n• The parabola and its applications\n• The ellipse and its applications\n• The Hyperbola and its applications\n• Test: Chapter 10", "html_text": "Ch 10 The Conic Sections\n• The parabola and its applications\n• The ellipse and its applications\n• The Hyperbola and its applications\n• Test: Chapter 10", "links": [], "cell_header_index": 1, "rowspan": 1, "colspan": 1, "column_header": false, "row_header": false, "placeholder": false, "ref": "#/tables/0" } ], "ref": "#/tables/0" }, { "row_index": 6, "location": [ 34.56, 386.1969, 576.24, 439.1631 ], "cells": [ { "location": [ 34.56, 386.1969, 305.4, 439.1631 ], "text": "7", "html_text": "7", "links": [], "cell_header_index": 0, "rowspan": 1, "colspan": 1, "column_header": false, "row_header": false, "placeholder": false, "ref": "#/tables/0" }, { "location": [ 305.4, 386.1969, 576.24, 439.1631 ], "text": "Ch 11 Further Topics in Algebra\n• Sequences and series\n• Arithmetic and Geometric sequences and series", "html_text": "Ch 11 Further Topics in Algebra\n• Sequences and series\n• Arithmetic and Geometric sequences and series", "links": [], "cell_header_index": 1, "rowspan": 1, "colspan": 1, "column_header": false, "row_header": false, "placeholder": false, "ref": "#/tables/0" } ], "ref": "#/tables/0" }, { "row_index": 7, "location": [ 34.56, 333.2308, 576.24, 386.1969 ], "cells": [ { "location": [ 34.56, 333.2308, 305.4, 386.1969 ], "text": "8", "html_text": "8", "links": [], "cell_header_index": 0, "rowspan": 1, "colspan": 1, "column_header": false, "row_header": false, "placeholder": false, "ref": "#/tables/0" }, { "location": [ 305.4, 333.2308, 576.24, 386.1969 ], "text": "Ch 11 Sequences and Series\n• Test: Chapter 11\n• Exam: Midterm", "html_text": "Ch 11 Sequences and Series\n• Test: Chapter 11\n• Exam: Midterm", "links": [], "cell_header_index": 1, "rowspan": 1, "colspan": 1, "column_header": false, "row_header": false, "placeholder": false, "ref": "#/tables/0" } ], "ref": "#/tables/0" }, { "row_index": 8, "location": [ 34.56, 280.2646, 576.24, 333.2308 ], "cells": [ { "location": [ 34.56, 280.2646, 305.4, 333.2308 ], "text": "9", "html_text": "9", "links": [], "cell_header_index": 0, "rowspan": 1, "colspan": 1, "column_header": false, "row_header": false, "placeholder": false, "ref": "#/tables/0" }, { "location": [ 305.4, 280.2646, 576.24, 333.2308 ], "text": "Ch 5 Trig Functions\n• Angles and angle measure\n• Right angle trigonometry\n• Trigonometric functions; the unit circle\n• Trigonometric functions of any angle;\n• The unit circle\n• Graphs of the trigonometric functions\n• Test: Chapter 5", "html_text": "Ch 5 Trig Functions\n• Angles and angle measure\n• Right angle trigonometry\n• Trigonometric functions; the unit circle\n• Trigonometric functions of any angle;\n• The unit circle\n• Graphs of the trigonometric functions\n• Test: Chapter 5", "links": [], "cell_header_index": 1, "rowspan": 1, "colspan": 1, "column_header": false, "row_header": false, "placeholder": false, "ref": "#/tables/0" } ], "ref": "#/tables/0" }, { "row_index": 9, "location": [ 34.56, 227.2985, 576.24, 280.2646 ], "cells": [ { "location": [ 34.56, 227.2985, 305.4, 280.2646 ], "text": "10", "html_text": "10", "links": [], "cell_header_index": 0, "rowspan": 1, "colspan": 1, "column_header": false, "row_header": false, "placeholder": false, "ref": "#/tables/0" }, { "location": [ 305.4, 227.2985, 576.24, 280.2646 ], "text": "Ch 6 Analytic Trigonometry\n• Inverse trigonometric functions; Review\n• Trigonometric identities and equations", "html_text": "Ch 6 Analytic Trigonometry\n• Inverse trigonometric functions; Review\n• Trigonometric identities and equations", "links": [], "cell_header_index": 1, "rowspan": 1, "colspan": 1, "column_header": false, "row_header": false, "placeholder": false, "ref": "#/tables/0" } ], "ref": "#/tables/0" }, { "row_index": 10, "location": [ 34.56, 174.3323, 576.24, 227.2985 ], "cells": [ { "location": [ 34.56, 174.3323, 305.4, 227.2985 ], "text": "11", "html_text": "11", "links": [], "cell_header_index": 0, "rowspan": 1, "colspan": 1, "column_header": false, "row_header": false, "placeholder": false, "ref": "#/tables/0" }, { "location": [ 305.4, 174.3323, 576.24, 227.2985 ], "text": "Ch 6 Analytic Trigonometry\n• Sum and difference formulas\n• Double and half-angle formulas\n• Product to sum and sum to product formulas\n• Trigonometry equations\n• Test: Chapter 6", "html_text": "Ch 6 Analytic Trigonometry\n• Sum and difference formulas\n• Double and half-angle formulas\n• Product to sum and sum to product formulas\n• Trigonometry equations\n• Test: Chapter 6", "links": [], "cell_header_index": 1, "rowspan": 1, "colspan": 1, "column_header": false, "row_header": false, "placeholder": false, "ref": "#/tables/0" } ], "ref": "#/tables/0" }, { "row_index": 11, "location": [ 34.56, 121.3662, 576.24, 174.3323 ], "cells": [ { "location": [ 34.56, 121.3662, 305.4, 174.3323 ], "text": "12", "html_text": "12", "links": [], "cell_header_index": 0, "rowspan": 1, "colspan": 1, "column_header": false, "row_header": false, "placeholder": false, "ref": "#/tables/0" }, { "location": [ 305.4, 121.3662, 576.24, 174.3323 ], "text": "Ch 7 Applications of Trigonometric Functions\n• The Law of Sines", "html_text": "Ch 7 Applications of Trigonometric Functions\n• The Law of Sines", "links": [], "cell_header_index": 1, "rowspan": 1, "colspan": 1, "column_header": false, "row_header": false, "placeholder": false, "ref": "#/tables/0" } ], "ref": "#/tables/0" }, { "row_index": 12, "location": [ 34.56, 68.4, 576.24, 121.3662 ], "cells": [ { "location": [ 34.56, 68.4, 305.4, 121.3662 ], "text": "13", "html_text": "13", "links": [], "cell_header_index": 0, "rowspan": 1, "colspan": 1, "column_header": false, "row_header": false, "placeholder": false, "ref": "#/tables/0" }, { "location": [ 305.4, 68.4, 576.24, 121.3662 ], "text": "Ch 7 Applications of Trigonometric Functions", "html_text": "Ch 7 Applications of Trigonometric Functions", "links": [], "cell_header_index": 1, "rowspan": 1, "colspan": 1, "column_header": false, "row_header": false, "placeholder": false, "ref": "#/tables/0" } ], "ref": 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WeekChapter/Topic/Lab
• Matrices and systems of equations\n• The Law of Cosines\n• Vectors\n• Polar Coordinates
14Ch 8 Systems of Equations & Ch 9 Matrices\n• Systems of equations in three variables\n• Matrix Algebra\n• Test: Chapter 7
15Matrices/Determinants\n• The matrix inverse\n• Determinants and Cramer's Rule\n• Test: Chapters 8*/9
16Final Exam
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WeekChapter/Topic/Lab
1Ch 2 Graphs and Functions\n• Symmetries of graphs & equation of a circle\n• Relations and functions\n• Properties of functions\n• A library of common functions\n• Transformations of functions\n• Combining functions; composite functions\n• Inverse functions\n\nCh 3 Polynomial and Rational Functions\n• Polynomial/Power functions and end behavior\n• Zeros and turning points\n• Graphing polynomial functions\n\nTest: Chapter 2
2Ch 3 Long division and synthetic division\n• Remainder and Factor Theorems\n• Descartes’ Rule of Signs\n• Zeros of polynomials: Bounds on real zeros\n• Zeros of polynomials: Conjugate pairs theorem\n• Find the domain of a rational function.\n• Analyze graphs of rational functions.\n• Find horizontal and vertical asymptotes.\n• Graph rational functions\n• Solve quadratic and polynomial inequalities.\n• Solve rational inequalities.
Test: Chapter 3
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WeekChapter/Topic/Lab
3Ch 4 Exponential and Logarithmic Functions\n● Exponential and Logarithmic functions\n● The natural exponential function\n● Properties of logarithms\n● Exponential and logarithmic equations\n● Rules of Logarithms\nTest: Chapter 4\nCh 10 The Conic Sections\n● The parabola and its applications\n● The ellipse and its applications\n● The Hyperbola and its applications\nTest: Chapter 10
4Ch 11 Further Topics in Algebra\n● Sequences and series\n● Arithmetic and Geometric sequences and series\nTest: Chapter 11\nExam: Midterm
5Ch 5 Trig Functions\n● Angles and angle measure\n● Right angle trigonometry\n● Trigonometric functions; the unit circle\n● Trigonometric functions of any angle;\n● The unit circle\n● Graphs of the trigonometric functions\nTest: Chapter 5\nCh 6 Analytic Trigonometry\n● Inverse trigonometric functions; Review\n● Trigonometric identities and equations
6Ch 6 Analytic Trigonometry\n● Sum and difference formulas\n● Double and half-angle formulas\n● Product to sum and sum to product formulas\n● Trigonometry equations\nTest: Chapter 6\nCh 7 Applications of Trigonometric Functions\n● The Law of Sines
7Ch 7 Applications of Trigonometric Functions\n● Matrices and systems of equations\n● The Law of Cosines\n● Vectors\n● Polar Coordinates
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the unit circle\n● Trigonometric functions of any angle;\n● The unit circle\n● Graphs of the trigonometric functions\nTest: Chapter 5\nCh 6 Analytic Trigonometry\n● Inverse trigonometric functions; Review\n● Trigonometric identities and equations", "html_text": "Ch 5 Trig Functions\n● Angles and angle measure\n● Right angle trigonometry\n● Trigonometric functions; the unit circle\n● Trigonometric functions of any angle;\n● The unit circle\n● Graphs of the trigonometric functions\nTest: Chapter 5\nCh 6 Analytic Trigonometry\n● Inverse trigonometric functions; Review\n● Trigonometric identities and equations", "links": [], "cell_header_index": 1, "rowspan": 1, "colspan": 1, "column_header": false, "row_header": false, "placeholder": false, "ref": "#/tables/0" } ], "ref": "#/tables/0" }, { "row_index": 4, "location": [ 33.6, 176.88, 577.68, 293.28 ], "cells": [ { "location": [ 33.6, 176.88, 305.64, 293.28 ], "text": "6", "html_text": "6", "links": [], "cell_header_index": 0, "rowspan": 1, "colspan": 1, "column_header": false, "row_header": false, "placeholder": false, "ref": "#/tables/0" }, { "location": [ 305.64, 176.88, 577.68, 293.28 ], "text": "Ch 6 Analytic Trigonometry\n● Sum and difference formulas\n● Double and half-angle formulas\n● Product to sum and sum to product formulas\n● Trigonometry equations\nTest: Chapter 6\nCh 7 Applications of Trigonometric Functions\n● The Law of Sines", "html_text": "Ch 6 Analytic Trigonometry\n● Sum and difference formulas\n● Double and half-angle formulas\n● Product to sum and sum to product formulas\n● Trigonometry equations\nTest: Chapter 6\nCh 7 Applications of Trigonometric Functions\n● The Law of Sines", "links": [], "cell_header_index": 1, "rowspan": 1, "colspan": 1, "column_header": false, "row_header": false, "placeholder": false, "ref": "#/tables/0" } ], "ref": "#/tables/0" }, { "row_index": 5, "location": [ 33.6, 60.48, 577.68, 176.88 ], "cells": [ { "location": [ 33.6, 60.48, 305.64, 176.88 ], "text": "7", "html_text": "7", "links": [], "cell_header_index": 0, "rowspan": 1, "colspan": 1, "column_header": false, "row_header": false, "placeholder": false, "ref": "#/tables/0" }, { "location": [ 305.64, 60.48, 577.68, 176.88 ], "text": "Ch 7 Applications of Trigonometric Functions\n● Matrices and systems of equations\n● The Law of Cosines\n● Vectors\n● Polar Coordinates", "html_text": "Ch 7 Applications of Trigonometric Functions\n● Matrices and systems of equations\n● The Law of Cosines\n● Vectors\n● Polar Coordinates", "links": [], "cell_header_index": 1, "rowspan": 1, "colspan": 1, "column_header": false, "row_header": false, "placeholder": false, "ref": "#/tables/0" } ], "ref": "#/tables/0" } ], "n_rows": 6, "n_cols": 2, "ref": "#/tables/0", "reading_order": 0 } ] }, { "page": 5, "items": [ { "page": 5, "type": "TABLE", "location": { "l": 34.8, "t": 758.4, "r": 575.04, "b": 582 }, "text": "
WeekChapter/Topic/Lab
Ch 8 Systems of Equations & Ch 9 Matrices• Systems of equations in three variables• Matrix AlgebraTest: Chapter 7Matrices/Determinants• The matrix inverse• Determinants and Cramer's RuleTest: Chapters 8*/9Final Exam
8
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