[et_pb_section fb_built=”1″ _builder_version=”4.4.5″ custom_padding=”||54px|||” global_colors_info=”{}”][et_pb_row _builder_version=”4.9.1″ global_colors_info=”{}”][et_pb_column type=”4_4″ _builder_version=”4.4.5″ global_colors_info=”{}”][dsm_text_divider header=”Mathematics” color=”#000000″ divider_style=”double” divider_weight=”5px” _builder_version=”4.10.8″ _module_preset=”default” header_font=”Open Sans|700|||||||” header_text_align=”center” header_font_size=”35px” module_alignment=”center” global_colors_info=”{}”][\/dsm_text_divider][et_pb_accordion open_toggle_text_color=”#E71939″ open_toggle_background_color=”#ffffff” closed_toggle_background_color=”#ffffff” icon_color=”#e71939″ _builder_version=”4.10.8″ _module_preset=”default” toggle_text_color=”#E71939″ toggle_font=”Open Sans|600|||||||” body_font=”Open Sans||||||||” body_text_color=”#000000″ body_font_size=”16px” border_color_all=”#000000″ global_colors_info=”{}”][et_pb_accordion_item title=”Exponential Models” open=”on” _builder_version=”4.10.8″ _module_preset=”default” global_colors_info=”{}”]<\/p>\n
Exponential Growth and Decay<\/strong><\/span> Exponential Growth and Decay, Examples Exponential Models and Differential Equations Initial Conditions in Solving Exponential Modeling Problems<\/span> [\/et_pb_accordion_item][et_pb_accordion_item title=”Functions” _builder_version=”4.10.8″ _module_preset=”default” global_colors_info=”{}” open=”off”]<\/p>\n Increasing and Decreasing Functions<\/strong><\/span> Average Rate of Change<\/span> Secant Lines & Average Rate of Change Average Rate of Change from Graph, Example<\/span> Average Rate of Change from Table, Example<\/strong><\/span> [\/et_pb_accordion_item][et_pb_accordion_item title=”Exponential & Logarithmic Functions” _builder_version=”4.10.8″ _module_preset=”default” global_colors_info=”{}” open=”off”]<\/p>\n Relationship Between Graphs of Exponential and Logarithmic Functions<\/strong><\/span> Exponential and Logarithmic Functions as Inverses of Each Other By graphing the exponential function y=2\u02e3<\/strong> and the logarithmic function y=log\u2082(x)<\/strong> on the same coordinate plane, this video<\/strong> shows how the graphs relate as inverse functions.<\/strong><\/p>\n [\/et_pb_accordion_item][et_pb_accordion_item title=”Arithmetic & Algebra” _builder_version=”4.10.8″ _module_preset=”default” global_colors_info=”{}” open=”off”]<\/p>\n Order of Operations This video<\/strong> highlights the correct order of operations to solve mathematics expressions using PEMDAS.<\/strong> PEMDAS<\/strong> is an acronym for the words P<\/strong>arenthesis, E<\/strong>xponents, M<\/strong>ultiplication, D<\/strong>ivision, A<\/strong>ddition, S<\/strong>ubtraction. For any expression, all expressions in parenthesis<\/strong> should be performed first,<\/strong> followed by exponents,<\/strong> followed by multiplication and division<\/strong> (from left to right<\/strong>) and, finally, addition and subtraction<\/strong> (from left to right<\/strong>).<\/p>\n Order of Operations, Example This video<\/strong> shows how PEMDAS<\/strong> is applied to arrive at the correct solution of a numerical example.<\/p>\n Converting Percents to Decimals and Fractions This video<\/strong> uses numerical examples<\/strong> to illustrate how to convert between percents, decimals,<\/strong> and fractions.<\/strong><\/p>\n Proportions This video<\/strong> explains how to solve proportions<\/strong> by using equivalent ratios,<\/strong> or equivalent fractions.<\/strong><\/p>\n The Binomial Theorem This video<\/strong> explains how the binomial theorem<\/strong> is used to expand expressions<\/strong> of the form (a+b)\u207f.<\/strong><\/p>\n Reading Matrices This video<\/strong> teaches us how to read matrices:<\/strong> rectangular arrays of numbers, symbols, or expressions, arranged in rows and columns. Matrices<\/strong> are covered in our mathematics<\/strong> and computer science<\/strong> courses.<\/p>\n [\/et_pb_accordion_item][et_pb_accordion_item title=”Motion Problems” _builder_version=”4.10.8″ _module_preset=”default” global_colors_info=”{}” open=”off”]<\/p>\n Motion Problems: The Difference Between Displacement and Distance<\/strong><\/span> This video<\/strong> defines the difference between displacement<\/strong> and distance.<\/strong> The definite integral of a velocity function<\/strong> gives us the displacement.<\/strong> To find the actual distance traveled,<\/strong> we need to use the speed function,<\/strong> which is the absolute value of the velocity.<\/strong><\/p>\n Formulas for Position, Velocity, and Acceleration This video<\/strong> explains the relationship between position, velocity,<\/strong> and acceleration.<\/strong> If position<\/strong> is given by a function p(t)<\/strong>, then the velocity, v(t),<\/strong> is the first derivative<\/strong> of that function, and the acceleration, a(t)<\/strong> is the second derivative.<\/strong> This concept is covered in our mathematics<\/strong> and physics<\/strong> courses.<\/p>\n Distance, Velocity, Momentum, Force, Pressure, Work and Energy, Study Guide This study guide<\/strong> defines: distance, speed<\/strong> and acceleration, force and pressure, work, energy, conservation of energy (potential<\/strong> and kinetic<\/strong> energy) and the equivalence of work and energy.<\/strong><\/p>\n [\/et_pb_accordion_item][et_pb_accordion_item title=”Calculus, Linear Algebra & Differential Equations” _builder_version=”4.10.8″ _module_preset=”default” global_colors_info=”{}” open=”off”]<\/p>\n Calculus I (Differential Calculus)
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